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Simplifying 3 + 2m + -2 = 5m + 10 + -2m Reorder the terms: 3 + -2 + 2m = 5m + 10 + -2m Combine like terms: 3 + -2 = 1 1 + 2m = 5m + 10 + -2m Reorder the terms: 1 + 2m = 10 + 5m + -2m Combine like terms: 5m + -2m = 3m 1 + 2m = 10 + 3m Solving 1 + 2m = 10 + 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. 1 + 2m + -3m = 10 + 3m + -3m Combine like terms: 2m + -3m = -1m 1 + -1m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + -1m = 10 + 0 1 + -1m = 10 Add '-1' to each side of the equation. 1 + -1 + -1m = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 10 + -1 -1m = 10 + -1 Combine like terms: 10 + -1 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9
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