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Simplifying 3(m + 1) = 2m + 7 Reorder the terms: 3(1 + m) = 2m + 7 (1 * 3 + m * 3) = 2m + 7 (3 + 3m) = 2m + 7 Reorder the terms: 3 + 3m = 7 + 2m Solving 3 + 3m = 7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3 + 3m + -2m = 7 + 2m + -2m Combine like terms: 3m + -2m = 1m 3 + 1m = 7 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 1m = 7 + 0 3 + 1m = 7 Add '-3' to each side of the equation. 3 + -3 + 1m = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1m = 7 + -3 1m = 7 + -3 Combine like terms: 7 + -3 = 4 1m = 4 Divide each side by '1'. m = 4 Simplifying m = 4
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