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