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Simplifying -1(b + -5) + -8b = -12 + 8b Reorder the terms: -1(-5 + b) + -8b = -12 + 8b (-5 * -1 + b * -1) + -8b = -12 + 8b (5 + -1b) + -8b = -12 + 8b Combine like terms: -1b + -8b = -9b 5 + -9b = -12 + 8b Solving 5 + -9b = -12 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 5 + -9b + -8b = -12 + 8b + -8b Combine like terms: -9b + -8b = -17b 5 + -17b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 5 + -17b = -12 + 0 5 + -17b = -12 Add '-5' to each side of the equation. 5 + -5 + -17b = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -17b = -12 + -5 -17b = -12 + -5 Combine like terms: -12 + -5 = -17 -17b = -17 Divide each side by '-17'. b = 1 Simplifying b = 1
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