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