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Simplifying 6m + 6m = 2(3 + 8m) + -2(7 + 3m) Combine like terms: 6m + 6m = 12m 12m = 2(3 + 8m) + -2(7 + 3m) 12m = (3 * 2 + 8m * 2) + -2(7 + 3m) 12m = (6 + 16m) + -2(7 + 3m) 12m = 6 + 16m + (7 * -2 + 3m * -2) 12m = 6 + 16m + (-14 + -6m) Reorder the terms: 12m = 6 + -14 + 16m + -6m Combine like terms: 6 + -14 = -8 12m = -8 + 16m + -6m Combine like terms: 16m + -6m = 10m 12m = -8 + 10m Solving 12m = -8 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 12m + -10m = -8 + 10m + -10m Combine like terms: 12m + -10m = 2m 2m = -8 + 10m + -10m Combine like terms: 10m + -10m = 0 2m = -8 + 0 2m = -8 Divide each side by '2'. m = -4 Simplifying m = -4
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