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Simplifying -3(4b + -10) = 1.5(-24b + 60) Reorder the terms: -3(-10 + 4b) = 1.5(-24b + 60) (-10 * -3 + 4b * -3) = 1.5(-24b + 60) (30 + -12b) = 1.5(-24b + 60) Reorder the terms: 30 + -12b = 1.5(60 + -24b) 30 + -12b = (60 * 1.5 + -24b * 1.5) 30 + -12b = (90 + -36b) Solving 30 + -12b = 90 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. 30 + -12b + 36b = 90 + -36b + 36b Combine like terms: -12b + 36b = 24b 30 + 24b = 90 + -36b + 36b Combine like terms: -36b + 36b = 0 30 + 24b = 90 + 0 30 + 24b = 90 Add '-30' to each side of the equation. 30 + -30 + 24b = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 24b = 90 + -30 24b = 90 + -30 Combine like terms: 90 + -30 = 60 24b = 60 Divide each side by '24'. b = 2.5 Simplifying b = 2.5
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