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Simplifying 2m + 3 = 5m + -12 Reorder the terms: 3 + 2m = 5m + -12 Reorder the terms: 3 + 2m = -12 + 5m Solving 3 + 2m = -12 + 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. 3 + 2m + -5m = -12 + 5m + -5m Combine like terms: 2m + -5m = -3m 3 + -3m = -12 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + -3m = -12 + 0 3 + -3m = -12 Add '-3' to each side of the equation. 3 + -3 + -3m = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3m = -12 + -3 -3m = -12 + -3 Combine like terms: -12 + -3 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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