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Simplifying 15 = 3 + -1(b + 7) Reorder the terms: 15 = 3 + -1(7 + b) 15 = 3 + (7 * -1 + b * -1) 15 = 3 + (-7 + -1b) Combine like terms: 3 + -7 = -4 15 = -4 + -1b Solving 15 = -4 + -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 = -4 + -1b + b Combine like terms: -1b + b = 0 15 + b = -4 + 0 15 + b = -4 Add '-15' to each side of the equation. 15 + -15 + b = -4 + -15 Combine like terms: 15 + -15 = 0 0 + b = -4 + -15 b = -4 + -15 Combine like terms: -4 + -15 = -19 b = -19 Simplifying b = -19
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