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Simplifying -85 = -11(-13 + 9b) + -2(1 + 7b) -85 = (-13 * -11 + 9b * -11) + -2(1 + 7b) -85 = (143 + -99b) + -2(1 + 7b) -85 = 143 + -99b + (1 * -2 + 7b * -2) -85 = 143 + -99b + (-2 + -14b) Reorder the terms: -85 = 143 + -2 + -99b + -14b Combine like terms: 143 + -2 = 141 -85 = 141 + -99b + -14b Combine like terms: -99b + -14b = -113b -85 = 141 + -113b Solving -85 = 141 + -113b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '113b' to each side of the equation. -85 + 113b = 141 + -113b + 113b Combine like terms: -113b + 113b = 0 -85 + 113b = 141 + 0 -85 + 113b = 141 Add '85' to each side of the equation. -85 + 85 + 113b = 141 + 85 Combine like terms: -85 + 85 = 0 0 + 113b = 141 + 85 113b = 141 + 85 Combine like terms: 141 + 85 = 226 113b = 226 Divide each side by '113'. b = 2 Simplifying b = 2
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