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Simplifying 5a + 2b + 2c + 5d + 3e + 2f + 1g + 2h = 180 Solving 5a + 2b + 2c + 5d + 3e + 2f + 1g + 2h = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 5a + 2b + 2c + 5d + 3e + 2f + 1g + -2b + 2h = 180 + -2b Reorder the terms: 5a + 2b + -2b + 2c + 5d + 3e + 2f + 1g + 2h = 180 + -2b Combine like terms: 2b + -2b = 0 5a + 0 + 2c + 5d + 3e + 2f + 1g + 2h = 180 + -2b 5a + 2c + 5d + 3e + 2f + 1g + 2h = 180 + -2b Add '-2c' to each side of the equation. 5a + 2c + 5d + 3e + 2f + 1g + -2c + 2h = 180 + -2b + -2c Reorder the terms: 5a + 2c + -2c + 5d + 3e + 2f + 1g + 2h = 180 + -2b + -2c Combine like terms: 2c + -2c = 0 5a + 0 + 5d + 3e + 2f + 1g + 2h = 180 + -2b + -2c 5a + 5d + 3e + 2f + 1g + 2h = 180 + -2b + -2c Add '-5d' to each side of the equation. 5a + 5d + 3e + 2f + 1g + -5d + 2h = 180 + -2b + -2c + -5d Reorder the terms: 5a + 5d + -5d + 3e + 2f + 1g + 2h = 180 + -2b + -2c + -5d Combine like terms: 5d + -5d = 0 5a + 0 + 3e + 2f + 1g + 2h = 180 + -2b + -2c + -5d 5a + 3e + 2f + 1g + 2h = 180 + -2b + -2c + -5d Add '-3e' to each side of the equation. 5a + 3e + 2f + 1g + -3e + 2h = 180 + -2b + -2c + -5d + -3e Reorder the terms: 5a + 3e + -3e + 2f + 1g + 2h = 180 + -2b + -2c + -5d + -3e Combine like terms: 3e + -3e = 0 5a + 0 + 2f + 1g + 2h = 180 + -2b + -2c + -5d + -3e 5a + 2f + 1g + 2h = 180 + -2b + -2c + -5d + -3e Add '-2f' to each side of the equation. 5a + 2f + 1g + -2f + 2h = 180 + -2b + -2c + -5d + -3e + -2f Reorder the terms: 5a + 2f + -2f + 1g + 2h = 180 + -2b + -2c + -5d + -3e + -2f Combine like terms: 2f + -2f = 0 5a + 0 + 1g + 2h = 180 + -2b + -2c + -5d + -3e + -2f 5a + 1g + 2h = 180 + -2b + -2c + -5d + -3e + -2f Add '-1g' to each side of the equation. 5a + 1g + -1g + 2h = 180 + -2b + -2c + -5d + -3e + -2f + -1g Combine like terms: 1g + -1g = 0 5a + 0 + 2h = 180 + -2b + -2c + -5d + -3e + -2f + -1g 5a + 2h = 180 + -2b + -2c + -5d + -3e + -2f + -1g Add '-2h' to each side of the equation. 5a + 2h + -2h = 180 + -2b + -2c + -5d + -3e + -2f + -1g + -2h Combine like terms: 2h + -2h = 0 5a + 0 = 180 + -2b + -2c + -5d + -3e + -2f + -1g + -2h 5a = 180 + -2b + -2c + -5d + -3e + -2f + -1g + -2h Divide each side by '5'. a = 36 + -0.4b + -0.4c + -1d + -0.6e + -0.4f + -0.2g + -0.4h Simplifying a = 36 + -0.4b + -0.4c + -1d + -0.6e + -0.4f + -0.2g + -0.4h
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