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Simplifying 3(2m + 6) = 414 Reorder the terms: 3(6 + 2m) = 414 (6 * 3 + 2m * 3) = 414 (18 + 6m) = 414 Solving 18 + 6m = 414 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 + 6m = 414 + -18 Combine like terms: 18 + -18 = 0 0 + 6m = 414 + -18 6m = 414 + -18 Combine like terms: 414 + -18 = 396 6m = 396 Divide each side by '6'. m = 66 Simplifying m = 66
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