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Simplifying -1(b + 5) + 12 = -9b + 8 Reorder the terms: -1(5 + b) + 12 = -9b + 8 (5 * -1 + b * -1) + 12 = -9b + 8 (-5 + -1b) + 12 = -9b + 8 Reorder the terms: -5 + 12 + -1b = -9b + 8 Combine like terms: -5 + 12 = 7 7 + -1b = -9b + 8 Reorder the terms: 7 + -1b = 8 + -9b Solving 7 + -1b = 8 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. 7 + -1b + 9b = 8 + -9b + 9b Combine like terms: -1b + 9b = 8b 7 + 8b = 8 + -9b + 9b Combine like terms: -9b + 9b = 0 7 + 8b = 8 + 0 7 + 8b = 8 Add '-7' to each side of the equation. 7 + -7 + 8b = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 8b = 8 + -7 8b = 8 + -7 Combine like terms: 8 + -7 = 1 8b = 1 Divide each side by '8'. b = 0.125 Simplifying b = 0.125
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