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Simplifying 12(m + -8) = 2(-4m + 10) Reorder the terms: 12(-8 + m) = 2(-4m + 10) (-8 * 12 + m * 12) = 2(-4m + 10) (-96 + 12m) = 2(-4m + 10) Reorder the terms: -96 + 12m = 2(10 + -4m) -96 + 12m = (10 * 2 + -4m * 2) -96 + 12m = (20 + -8m) Solving -96 + 12m = 20 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -96 + 12m + 8m = 20 + -8m + 8m Combine like terms: 12m + 8m = 20m -96 + 20m = 20 + -8m + 8m Combine like terms: -8m + 8m = 0 -96 + 20m = 20 + 0 -96 + 20m = 20 Add '96' to each side of the equation. -96 + 96 + 20m = 20 + 96 Combine like terms: -96 + 96 = 0 0 + 20m = 20 + 96 20m = 20 + 96 Combine like terms: 20 + 96 = 116 20m = 116 Divide each side by '20'. m = 5.8 Simplifying m = 5.8
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