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Simplifying 3(2m + -6) = 3m + -9 Reorder the terms: 3(-6 + 2m) = 3m + -9 (-6 * 3 + 2m * 3) = 3m + -9 (-18 + 6m) = 3m + -9 Reorder the terms: -18 + 6m = -9 + 3m Solving -18 + 6m = -9 + 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. -18 + 6m + -3m = -9 + 3m + -3m Combine like terms: 6m + -3m = 3m -18 + 3m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 -18 + 3m = -9 + 0 -18 + 3m = -9 Add '18' to each side of the equation. -18 + 18 + 3m = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 3m = -9 + 18 3m = -9 + 18 Combine like terms: -9 + 18 = 9 3m = 9 Divide each side by '3'. m = 3 Simplifying m = 3
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