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Simplifying 3[6 + 2m] = 4[3m + 12] [6 * 3 + 2m * 3] = 4[3m + 12] [18 + 6m] = 4[3m + 12] Reorder the terms: 18 + 6m = 4[12 + 3m] 18 + 6m = [12 * 4 + 3m * 4] 18 + 6m = [48 + 12m] Solving 18 + 6m = 48 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 18 + 6m + -12m = 48 + 12m + -12m Combine like terms: 6m + -12m = -6m 18 + -6m = 48 + 12m + -12m Combine like terms: 12m + -12m = 0 18 + -6m = 48 + 0 18 + -6m = 48 Add '-18' to each side of the equation. 18 + -18 + -6m = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -6m = 48 + -18 -6m = 48 + -18 Combine like terms: 48 + -18 = 30 -6m = 30 Divide each side by '-6'. m = -5 Simplifying m = -5
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