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Simplifying 6(m + -1) = 3(3m + 15) Reorder the terms: 6(-1 + m) = 3(3m + 15) (-1 * 6 + m * 6) = 3(3m + 15) (-6 + 6m) = 3(3m + 15) Reorder the terms: -6 + 6m = 3(15 + 3m) -6 + 6m = (15 * 3 + 3m * 3) -6 + 6m = (45 + 9m) Solving -6 + 6m = 45 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -6 + 6m + -9m = 45 + 9m + -9m Combine like terms: 6m + -9m = -3m -6 + -3m = 45 + 9m + -9m Combine like terms: 9m + -9m = 0 -6 + -3m = 45 + 0 -6 + -3m = 45 Add '6' to each side of the equation. -6 + 6 + -3m = 45 + 6 Combine like terms: -6 + 6 = 0 0 + -3m = 45 + 6 -3m = 45 + 6 Combine like terms: 45 + 6 = 51 -3m = 51 Divide each side by '-3'. m = -17 Simplifying m = -17
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