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Simplifying 2m + 3 = 3m + -5 Reorder the terms: 3 + 2m = 3m + -5 Reorder the terms: 3 + 2m = -5 + 3m Solving 3 + 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. 3 + 2m + -3m = -5 + 3m + -3m Combine like terms: 2m + -3m = -1m 3 + -1m = -5 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + -1m = -5 + 0 3 + -1m = -5 Add '-3' to each side of the equation. 3 + -3 + -1m = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = -5 + -3 -1m = -5 + -3 Combine like terms: -5 + -3 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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