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Simplifying -6m + 3 = 9m + -27 Reorder the terms: 3 + -6m = 9m + -27 Reorder the terms: 3 + -6m = -27 + 9m Solving 3 + -6m = -27 + 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. 3 + -6m + -9m = -27 + 9m + -9m Combine like terms: -6m + -9m = -15m 3 + -15m = -27 + 9m + -9m Combine like terms: 9m + -9m = 0 3 + -15m = -27 + 0 3 + -15m = -27 Add '-3' to each side of the equation. 3 + -3 + -15m = -27 + -3 Combine like terms: 3 + -3 = 0 0 + -15m = -27 + -3 -15m = -27 + -3 Combine like terms: -27 + -3 = -30 -15m = -30 Divide each side by '-15'. m = 2 Simplifying m = 2
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