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