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Simplifying 3(6 + 2m) = 4(m + 12) (6 * 3 + 2m * 3) = 4(m + 12) (18 + 6m) = 4(m + 12) Reorder the terms: 18 + 6m = 4(12 + m) 18 + 6m = (12 * 4 + m * 4) 18 + 6m = (48 + 4m) Solving 18 + 6m = 48 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 18 + 6m + -4m = 48 + 4m + -4m Combine like terms: 6m + -4m = 2m 18 + 2m = 48 + 4m + -4m Combine like terms: 4m + -4m = 0 18 + 2m = 48 + 0 18 + 2m = 48 Add '-18' to each side of the equation. 18 + -18 + 2m = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 2m = 48 + -18 2m = 48 + -18 Combine like terms: 48 + -18 = 30 2m = 30 Divide each side by '2'. m = 15 Simplifying m = 15
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