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Simplifying 6(2m + 3) = 78 Reorder the terms: 6(3 + 2m) = 78 (3 * 6 + 2m * 6) = 78 (18 + 12m) = 78 Solving 18 + 12m = 78 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12m = 78 + -18 Combine like terms: 18 + -18 = 0 0 + 12m = 78 + -18 12m = 78 + -18 Combine like terms: 78 + -18 = 60 12m = 60 Divide each side by '12'. m = 5 Simplifying m = 5
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