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