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Simplifying 1a + -2b + -3c + -4f + -5y + -6 + -1hg + -1yu + -1j + -1hyn + -1hn = 69 Reorder the terms: -6 + 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 69 Solving -6 + 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 69 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + 6 + -5y = 69 + 6 Reorder the terms: -6 + 6 + 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 69 + 6 Combine like terms: -6 + 6 = 0 0 + 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 69 + 6 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 69 + 6 Combine like terms: 69 + 6 = 75 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 Add '2b' to each side of the equation. 1a + -2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + 2b + -5y = 75 + 2b Reorder the terms: 1a + -2b + 2b + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b Combine like terms: -2b + 2b = 0 1a + 0 + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b 1a + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b Add '3c' to each side of the equation. 1a + -3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + 3c + -5y = 75 + 2b + 3c Reorder the terms: 1a + -3c + 3c + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c Combine like terms: -3c + 3c = 0 1a + 0 + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c 1a + -4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c Add '4f' to each side of the equation. 1a + -4f + -1gh + -1hn + -1hny + -1j + -1uy + 4f + -5y = 75 + 2b + 3c + 4f Reorder the terms: 1a + -4f + 4f + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f Combine like terms: -4f + 4f = 0 1a + 0 + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f 1a + -1gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f Add 'gh' to each side of the equation. 1a + -1gh + -1hn + -1hny + -1j + -1uy + gh + -5y = 75 + 2b + 3c + 4f + gh Reorder the terms: 1a + -1gh + gh + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh Combine like terms: -1gh + gh = 0 1a + 0 + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh 1a + -1hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh Add 'hn' to each side of the equation. 1a + -1hn + -1hny + -1j + -1uy + hn + -5y = 75 + 2b + 3c + 4f + gh + hn Reorder the terms: 1a + -1hn + hn + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn Combine like terms: -1hn + hn = 0 1a + 0 + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn 1a + -1hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn Add 'hny' to each side of the equation. 1a + -1hny + -1j + -1uy + hny + -5y = 75 + 2b + 3c + 4f + gh + hn + hny Reorder the terms: 1a + -1hny + hny + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn + hny Combine like terms: -1hny + hny = 0 1a + 0 + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn + hny 1a + -1j + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn + hny Add 'j' to each side of the equation. 1a + -1j + -1uy + j + -5y = 75 + 2b + 3c + 4f + gh + hn + hny + j Reorder the terms: 1a + -1j + j + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn + hny + j Combine like terms: -1j + j = 0 1a + 0 + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn + hny + j 1a + -1uy + -5y = 75 + 2b + 3c + 4f + gh + hn + hny + j Add 'uy' to each side of the equation. 1a + -1uy + uy + -5y = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy Combine like terms: -1uy + uy = 0 1a + 0 + -5y = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy 1a + -5y = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy Add '5y' to each side of the equation. 1a + -5y + 5y = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy + 5y Combine like terms: -5y + 5y = 0 1a + 0 = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy + 5y 1a = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy + 5y Divide each side by '1'. a = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy + 5y Simplifying a = 75 + 2b + 3c + 4f + gh + hn + hny + j + uy + 5y
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