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Simplifying 12(m + 20) = 16m Reorder the terms: 12(20 + m) = 16m (20 * 12 + m * 12) = 16m (240 + 12m) = 16m Solving 240 + 12m = 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 240 + 12m + -16m = 16m + -16m Combine like terms: 12m + -16m = -4m 240 + -4m = 16m + -16m Combine like terms: 16m + -16m = 0 240 + -4m = 0 Add '-240' to each side of the equation. 240 + -240 + -4m = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -4m = 0 + -240 -4m = 0 + -240 Combine like terms: 0 + -240 = -240 -4m = -240 Divide each side by '-4'. m = 60 Simplifying m = 60
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