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Simplifying 4(3m + 1) = 8m + 20 Reorder the terms: 4(1 + 3m) = 8m + 20 (1 * 4 + 3m * 4) = 8m + 20 (4 + 12m) = 8m + 20 Reorder the terms: 4 + 12m = 20 + 8m Solving 4 + 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. 4 + 12m + -8m = 20 + 8m + -8m Combine like terms: 12m + -8m = 4m 4 + 4m = 20 + 8m + -8m Combine like terms: 8m + -8m = 0 4 + 4m = 20 + 0 4 + 4m = 20 Add '-4' to each side of the equation. 4 + -4 + 4m = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 4m = 20 + -4 4m = 20 + -4 Combine like terms: 20 + -4 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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