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Simplifying -3(4b + -10) = 2(-24b + 60) Reorder the terms: -3(-10 + 4b) = 2(-24b + 60) (-10 * -3 + 4b * -3) = 2(-24b + 60) (30 + -12b) = 2(-24b + 60) Reorder the terms: 30 + -12b = 2(60 + -24b) 30 + -12b = (60 * 2 + -24b * 2) 30 + -12b = (120 + -48b) Solving 30 + -12b = 120 + -48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48b' to each side of the equation. 30 + -12b + 48b = 120 + -48b + 48b Combine like terms: -12b + 48b = 36b 30 + 36b = 120 + -48b + 48b Combine like terms: -48b + 48b = 0 30 + 36b = 120 + 0 30 + 36b = 120 Add '-30' to each side of the equation. 30 + -30 + 36b = 120 + -30 Combine like terms: 30 + -30 = 0 0 + 36b = 120 + -30 36b = 120 + -30 Combine like terms: 120 + -30 = 90 36b = 90 Divide each side by '36'. b = 2.5 Simplifying b = 2.5
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