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Simplifying 15 = -8(b + -1) + 9b Reorder the terms: 15 = -8(-1 + b) + 9b 15 = (-1 * -8 + b * -8) + 9b 15 = (8 + -8b) + 9b Combine like terms: -8b + 9b = 1b 15 = 8 + 1b Solving 15 = 8 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 15 + -1b = 8 + 1b + -1b Combine like terms: 1b + -1b = 0 15 + -1b = 8 + 0 15 + -1b = 8 Add '-15' to each side of the equation. 15 + -15 + -1b = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1b = 8 + -15 -1b = 8 + -15 Combine like terms: 8 + -15 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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