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Simplifying -3(4b + -10) = 0.5(24b + 60) Reorder the terms: -3(-10 + 4b) = 0.5(24b + 60) (-10 * -3 + 4b * -3) = 0.5(24b + 60) (30 + -12b) = 0.5(24b + 60) Reorder the terms: 30 + -12b = 0.5(60 + 24b) 30 + -12b = (60 * 0.5 + 24b * 0.5) 30 + -12b = (30 + 12b) Add '-30' to each side of the equation. 30 + -30 + -12b = 30 + -30 + 12b Combine like terms: 30 + -30 = 0 0 + -12b = 30 + -30 + 12b -12b = 30 + -30 + 12b Combine like terms: 30 + -30 = 0 -12b = 0 + 12b -12b = 12b Solving -12b = 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. -12b + -12b = 12b + -12b Combine like terms: -12b + -12b = -24b -24b = 12b + -12b Combine like terms: 12b + -12b = 0 -24b = 0 Divide each side by '-24'. b = 0 Simplifying b = 0
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