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Simplifying 2(5m + 1) = 12m Reorder the terms: 2(1 + 5m) = 12m (1 * 2 + 5m * 2) = 12m (2 + 10m) = 12m Solving 2 + 10m = 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 2 + 10m + -12m = 12m + -12m Combine like terms: 10m + -12m = -2m 2 + -2m = 12m + -12m Combine like terms: 12m + -12m = 0 2 + -2m = 0 Add '-2' to each side of the equation. 2 + -2 + -2m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2m = 0 + -2 -2m = 0 + -2 Combine like terms: 0 + -2 = -2 -2m = -2 Divide each side by '-2'. m = 1 Simplifying m = 1
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