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Simplifying 6(m + -5) = 3(3m + 4) Reorder the terms: 6(-5 + m) = 3(3m + 4) (-5 * 6 + m * 6) = 3(3m + 4) (-30 + 6m) = 3(3m + 4) Reorder the terms: -30 + 6m = 3(4 + 3m) -30 + 6m = (4 * 3 + 3m * 3) -30 + 6m = (12 + 9m) Solving -30 + 6m = 12 + 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. -30 + 6m + -9m = 12 + 9m + -9m Combine like terms: 6m + -9m = -3m -30 + -3m = 12 + 9m + -9m Combine like terms: 9m + -9m = 0 -30 + -3m = 12 + 0 -30 + -3m = 12 Add '30' to each side of the equation. -30 + 30 + -3m = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -3m = 12 + 30 -3m = 12 + 30 Combine like terms: 12 + 30 = 42 -3m = 42 Divide each side by '-3'. m = -14 Simplifying m = -14
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