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Simplifying 87 = -4(6b + 8) + 7b Reorder the terms: 87 = -4(8 + 6b) + 7b 87 = (8 * -4 + 6b * -4) + 7b 87 = (-32 + -24b) + 7b Combine like terms: -24b + 7b = -17b 87 = -32 + -17b Solving 87 = -32 + -17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17b' to each side of the equation. 87 + 17b = -32 + -17b + 17b Combine like terms: -17b + 17b = 0 87 + 17b = -32 + 0 87 + 17b = -32 Add '-87' to each side of the equation. 87 + -87 + 17b = -32 + -87 Combine like terms: 87 + -87 = 0 0 + 17b = -32 + -87 17b = -32 + -87 Combine like terms: -32 + -87 = -119 17b = -119 Divide each side by '17'. b = -7 Simplifying b = -7
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