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Simplifying 6(m + -6) = 3(3m + 5) Reorder the terms: 6(-6 + m) = 3(3m + 5) (-6 * 6 + m * 6) = 3(3m + 5) (-36 + 6m) = 3(3m + 5) Reorder the terms: -36 + 6m = 3(5 + 3m) -36 + 6m = (5 * 3 + 3m * 3) -36 + 6m = (15 + 9m) Solving -36 + 6m = 15 + 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. -36 + 6m + -9m = 15 + 9m + -9m Combine like terms: 6m + -9m = -3m -36 + -3m = 15 + 9m + -9m Combine like terms: 9m + -9m = 0 -36 + -3m = 15 + 0 -36 + -3m = 15 Add '36' to each side of the equation. -36 + 36 + -3m = 15 + 36 Combine like terms: -36 + 36 = 0 0 + -3m = 15 + 36 -3m = 15 + 36 Combine like terms: 15 + 36 = 51 -3m = 51 Divide each side by '-3'. m = -17 Simplifying m = -17
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