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Simplifying 9b + -2(b + -4) = 10b + -7(5b + 8) Reorder the terms: 9b + -2(-4 + b) = 10b + -7(5b + 8) 9b + (-4 * -2 + b * -2) = 10b + -7(5b + 8) 9b + (8 + -2b) = 10b + -7(5b + 8) Reorder the terms: 8 + 9b + -2b = 10b + -7(5b + 8) Combine like terms: 9b + -2b = 7b 8 + 7b = 10b + -7(5b + 8) Reorder the terms: 8 + 7b = 10b + -7(8 + 5b) 8 + 7b = 10b + (8 * -7 + 5b * -7) 8 + 7b = 10b + (-56 + -35b) Reorder the terms: 8 + 7b = -56 + 10b + -35b Combine like terms: 10b + -35b = -25b 8 + 7b = -56 + -25b Solving 8 + 7b = -56 + -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. 8 + 7b + 25b = -56 + -25b + 25b Combine like terms: 7b + 25b = 32b 8 + 32b = -56 + -25b + 25b Combine like terms: -25b + 25b = 0 8 + 32b = -56 + 0 8 + 32b = -56 Add '-8' to each side of the equation. 8 + -8 + 32b = -56 + -8 Combine like terms: 8 + -8 = 0 0 + 32b = -56 + -8 32b = -56 + -8 Combine like terms: -56 + -8 = -64 32b = -64 Divide each side by '32'. b = -2 Simplifying b = -2
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