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