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Simplifying 5(m + -4) = 12(8 + -2m) Reorder the terms: 5(-4 + m) = 12(8 + -2m) (-4 * 5 + m * 5) = 12(8 + -2m) (-20 + 5m) = 12(8 + -2m) -20 + 5m = (8 * 12 + -2m * 12) -20 + 5m = (96 + -24m) Solving -20 + 5m = 96 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. -20 + 5m + 24m = 96 + -24m + 24m Combine like terms: 5m + 24m = 29m -20 + 29m = 96 + -24m + 24m Combine like terms: -24m + 24m = 0 -20 + 29m = 96 + 0 -20 + 29m = 96 Add '20' to each side of the equation. -20 + 20 + 29m = 96 + 20 Combine like terms: -20 + 20 = 0 0 + 29m = 96 + 20 29m = 96 + 20 Combine like terms: 96 + 20 = 116 29m = 116 Divide each side by '29'. m = 4 Simplifying m = 4
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