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Simplifying 3(m + 2) = 2m + 3 Reorder the terms: 3(2 + m) = 2m + 3 (2 * 3 + m * 3) = 2m + 3 (6 + 3m) = 2m + 3 Reorder the terms: 6 + 3m = 3 + 2m Solving 6 + 3m = 3 + 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. 6 + 3m + -2m = 3 + 2m + -2m Combine like terms: 3m + -2m = 1m 6 + 1m = 3 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + 1m = 3 + 0 6 + 1m = 3 Add '-6' to each side of the equation. 6 + -6 + 1m = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 1m = 3 + -6 1m = 3 + -6 Combine like terms: 3 + -6 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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