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Simplifying -1m + 12 + -3m = 5m + -6 Reorder the terms: 12 + -1m + -3m = 5m + -6 Combine like terms: -1m + -3m = -4m 12 + -4m = 5m + -6 Reorder the terms: 12 + -4m = -6 + 5m Solving 12 + -4m = -6 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 12 + -4m + -5m = -6 + 5m + -5m Combine like terms: -4m + -5m = -9m 12 + -9m = -6 + 5m + -5m Combine like terms: 5m + -5m = 0 12 + -9m = -6 + 0 12 + -9m = -6 Add '-12' to each side of the equation. 12 + -12 + -9m = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9m = -6 + -12 -9m = -6 + -12 Combine like terms: -6 + -12 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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