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Simplifying 6(5 + 2m) = 12 + 6m (5 * 6 + 2m * 6) = 12 + 6m (30 + 12m) = 12 + 6m Solving 30 + 12m = 12 + 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. 30 + 12m + -6m = 12 + 6m + -6m Combine like terms: 12m + -6m = 6m 30 + 6m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 30 + 6m = 12 + 0 30 + 6m = 12 Add '-30' to each side of the equation. 30 + -30 + 6m = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 6m = 12 + -30 6m = 12 + -30 Combine like terms: 12 + -30 = -18 6m = -18 Divide each side by '6'. m = -3 Simplifying m = -3
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