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Simplifying a + (a + -4) = (a + 5) + -1(a + a) Reorder the terms: a + (-4 + a) = (a + 5) + -1(a + a) Remove parenthesis around (-4 + a) a + -4 + a = (a + 5) + -1(a + a) Reorder the terms: -4 + a + a = (a + 5) + -1(a + a) Combine like terms: a + a = 2a -4 + 2a = (a + 5) + -1(a + a) Reorder the terms: -4 + 2a = (5 + a) + -1(a + a) Remove parenthesis around (5 + a) -4 + 2a = 5 + a + -1(a + a) Combine like terms: a + a = 2a -4 + 2a = 5 + a + -1(2a) Remove parenthesis around (2a) -4 + 2a = 5 + a + -1 * 2a Multiply -1 * 2 -4 + 2a = 5 + a + -2a Combine like terms: a + -2a = -1a -4 + 2a = 5 + -1a Solving -4 + 2a = 5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -4 + 2a + a = 5 + -1a + a Combine like terms: 2a + a = 3a -4 + 3a = 5 + -1a + a Combine like terms: -1a + a = 0 -4 + 3a = 5 + 0 -4 + 3a = 5 Add '4' to each side of the equation. -4 + 4 + 3a = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 5 + 4 3a = 5 + 4 Combine like terms: 5 + 4 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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