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