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Simplifying 6(2 + -1m) = 3(4m + 1) (2 * 6 + -1m * 6) = 3(4m + 1) (12 + -6m) = 3(4m + 1) Reorder the terms: 12 + -6m = 3(1 + 4m) 12 + -6m = (1 * 3 + 4m * 3) 12 + -6m = (3 + 12m) Solving 12 + -6m = 3 + 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. 12 + -6m + -12m = 3 + 12m + -12m Combine like terms: -6m + -12m = -18m 12 + -18m = 3 + 12m + -12m Combine like terms: 12m + -12m = 0 12 + -18m = 3 + 0 12 + -18m = 3 Add '-12' to each side of the equation. 12 + -12 + -18m = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -18m = 3 + -12 -18m = 3 + -12 Combine like terms: 3 + -12 = -9 -18m = -9 Divide each side by '-18'. m = 0.5 Simplifying m = 0.5
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