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Simplifying -2(-12 + -15b) = 3(-10 + b) (-12 * -2 + -15b * -2) = 3(-10 + b) (24 + 30b) = 3(-10 + b) 24 + 30b = (-10 * 3 + b * 3) 24 + 30b = (-30 + 3b) Solving 24 + 30b = -30 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 24 + 30b + -3b = -30 + 3b + -3b Combine like terms: 30b + -3b = 27b 24 + 27b = -30 + 3b + -3b Combine like terms: 3b + -3b = 0 24 + 27b = -30 + 0 24 + 27b = -30 Add '-24' to each side of the equation. 24 + -24 + 27b = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 27b = -30 + -24 27b = -30 + -24 Combine like terms: -30 + -24 = -54 27b = -54 Divide each side by '27'. b = -2 Simplifying b = -2
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