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Simplifying 4(2m + 1) = 2(3m + 1) Reorder the terms: 4(1 + 2m) = 2(3m + 1) (1 * 4 + 2m * 4) = 2(3m + 1) (4 + 8m) = 2(3m + 1) Reorder the terms: 4 + 8m = 2(1 + 3m) 4 + 8m = (1 * 2 + 3m * 2) 4 + 8m = (2 + 6m) Solving 4 + 8m = 2 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 4 + 8m + -6m = 2 + 6m + -6m Combine like terms: 8m + -6m = 2m 4 + 2m = 2 + 6m + -6m Combine like terms: 6m + -6m = 0 4 + 2m = 2 + 0 4 + 2m = 2 Add '-4' to each side of the equation. 4 + -4 + 2m = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 2m = 2 + -4 2m = 2 + -4 Combine like terms: 2 + -4 = -2 2m = -2 Divide each side by '2'. m = -1 Simplifying m = -1
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