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Simplifying 3(2m + -1) = 3m + 12 Reorder the terms: 3(-1 + 2m) = 3m + 12 (-1 * 3 + 2m * 3) = 3m + 12 (-3 + 6m) = 3m + 12 Reorder the terms: -3 + 6m = 12 + 3m Solving -3 + 6m = 12 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -3 + 6m + -3m = 12 + 3m + -3m Combine like terms: 6m + -3m = 3m -3 + 3m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 -3 + 3m = 12 + 0 -3 + 3m = 12 Add '3' to each side of the equation. -3 + 3 + 3m = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3m = 12 + 3 3m = 12 + 3 Combine like terms: 12 + 3 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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