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Simplifying 2m + 3 = 5m + -9 Reorder the terms: 3 + 2m = 5m + -9 Reorder the terms: 3 + 2m = -9 + 5m Solving 3 + 2m = -9 + 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 = -9 + 5m + -5m Combine like terms: 2m + -5m = -3m 3 + -3m = -9 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + -3m = -9 + 0 3 + -3m = -9 Add '-3' to each side of the equation. 3 + -3 + -3m = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3m = -9 + -3 -3m = -9 + -3 Combine like terms: -9 + -3 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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