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Simplifying 3(6 + 2) = 4(3m + 12) Combine like terms: 6 + 2 = 8 3(8) = 4(3m + 12) Multiply 3 * 8 24 = 4(3m + 12) Reorder the terms: 24 = 4(12 + 3m) 24 = (12 * 4 + 3m * 4) 24 = (48 + 12m) Solving 24 = 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. 24 + -12m = 48 + 12m + -12m Combine like terms: 12m + -12m = 0 24 + -12m = 48 + 0 24 + -12m = 48 Add '-24' to each side of the equation. 24 + -24 + -12m = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -12m = 48 + -24 -12m = 48 + -24 Combine like terms: 48 + -24 = 24 -12m = 24 Divide each side by '-12'. m = -2 Simplifying m = -2
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