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Simplifying 3m + 9 = 4(2m + 6) Reorder the terms: 9 + 3m = 4(2m + 6) Reorder the terms: 9 + 3m = 4(6 + 2m) 9 + 3m = (6 * 4 + 2m * 4) 9 + 3m = (24 + 8m) Solving 9 + 3m = 24 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 9 + 3m + -8m = 24 + 8m + -8m Combine like terms: 3m + -8m = -5m 9 + -5m = 24 + 8m + -8m Combine like terms: 8m + -8m = 0 9 + -5m = 24 + 0 9 + -5m = 24 Add '-9' to each side of the equation. 9 + -9 + -5m = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 24 + -9 -5m = 24 + -9 Combine like terms: 24 + -9 = 15 -5m = 15 Divide each side by '-5'. m = -3 Simplifying m = -3
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