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Simplifying 3(4 + 5b) = -1(2 + -8b) (4 * 3 + 5b * 3) = -1(2 + -8b) (12 + 15b) = -1(2 + -8b) 12 + 15b = (2 * -1 + -8b * -1) 12 + 15b = (-2 + 8b) Solving 12 + 15b = -2 + 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. 12 + 15b + -8b = -2 + 8b + -8b Combine like terms: 15b + -8b = 7b 12 + 7b = -2 + 8b + -8b Combine like terms: 8b + -8b = 0 12 + 7b = -2 + 0 12 + 7b = -2 Add '-12' to each side of the equation. 12 + -12 + 7b = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 7b = -2 + -12 7b = -2 + -12 Combine like terms: -2 + -12 = -14 7b = -14 Divide each side by '7'. b = -2 Simplifying b = -2
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