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Simplifying -3a + 56 + 5b + 85 = 157 + -3b + 5a + 40 Reorder the terms: 56 + 85 + -3a + 5b = 157 + -3b + 5a + 40 Combine like terms: 56 + 85 = 141 141 + -3a + 5b = 157 + -3b + 5a + 40 Reorder the terms: 141 + -3a + 5b = 157 + 40 + 5a + -3b Combine like terms: 157 + 40 = 197 141 + -3a + 5b = 197 + 5a + -3b Solving 141 + -3a + 5b = 197 + 5a + -3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 141 + -3a + -5a + 5b = 197 + 5a + -5a + -3b Combine like terms: -3a + -5a = -8a 141 + -8a + 5b = 197 + 5a + -5a + -3b Combine like terms: 5a + -5a = 0 141 + -8a + 5b = 197 + 0 + -3b 141 + -8a + 5b = 197 + -3b Add '-141' to each side of the equation. 141 + -8a + -141 + 5b = 197 + -141 + -3b Reorder the terms: 141 + -141 + -8a + 5b = 197 + -141 + -3b Combine like terms: 141 + -141 = 0 0 + -8a + 5b = 197 + -141 + -3b -8a + 5b = 197 + -141 + -3b Combine like terms: 197 + -141 = 56 -8a + 5b = 56 + -3b Add '-5b' to each side of the equation. -8a + 5b + -5b = 56 + -3b + -5b Combine like terms: 5b + -5b = 0 -8a + 0 = 56 + -3b + -5b -8a = 56 + -3b + -5b Combine like terms: -3b + -5b = -8b -8a = 56 + -8b Divide each side by '-8'. a = -7 + b Simplifying a = -7 + b
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