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Simplifying 15 = 6 + -1(b + 9) Reorder the terms: 15 = 6 + -1(9 + b) 15 = 6 + (9 * -1 + b * -1) 15 = 6 + (-9 + -1b) Combine like terms: 6 + -9 = -3 15 = -3 + -1b Solving 15 = -3 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 15 + b = -3 + -1b + b Combine like terms: -1b + b = 0 15 + b = -3 + 0 15 + b = -3 Add '-15' to each side of the equation. 15 + -15 + b = -3 + -15 Combine like terms: 15 + -15 = 0 0 + b = -3 + -15 b = -3 + -15 Combine like terms: -3 + -15 = -18 b = -18 Simplifying b = -18
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