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Simplifying -3(9b + -10) = 0.5(-24b + 60) Reorder the terms: -3(-10 + 9b) = 0.5(-24b + 60) (-10 * -3 + 9b * -3) = 0.5(-24b + 60) (30 + -27b) = 0.5(-24b + 60) Reorder the terms: 30 + -27b = 0.5(60 + -24b) 30 + -27b = (60 * 0.5 + -24b * 0.5) 30 + -27b = (30 + -12b) Add '-30' to each side of the equation. 30 + -30 + -27b = 30 + -30 + -12b Combine like terms: 30 + -30 = 0 0 + -27b = 30 + -30 + -12b -27b = 30 + -30 + -12b Combine like terms: 30 + -30 = 0 -27b = 0 + -12b -27b = -12b Solving -27b = -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -27b + 12b = -12b + 12b Combine like terms: -27b + 12b = -15b -15b = -12b + 12b Combine like terms: -12b + 12b = 0 -15b = 0 Divide each side by '-15'. b = 0 Simplifying b = 0
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