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Simplifying 2(3m + 2) = (4m + 20) Reorder the terms: 2(2 + 3m) = (4m + 20) (2 * 2 + 3m * 2) = (4m + 20) (4 + 6m) = (4m + 20) Reorder the terms: 4 + 6m = (20 + 4m) Remove parenthesis around (20 + 4m) 4 + 6m = 20 + 4m Solving 4 + 6m = 20 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 4 + 6m + -4m = 20 + 4m + -4m Combine like terms: 6m + -4m = 2m 4 + 2m = 20 + 4m + -4m Combine like terms: 4m + -4m = 0 4 + 2m = 20 + 0 4 + 2m = 20 Add '-4' to each side of the equation. 4 + -4 + 2m = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 2m = 20 + -4 2m = 20 + -4 Combine like terms: 20 + -4 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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