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Simplifying 3(m + 3) + 2 = 2m + 5 Reorder the terms: 3(3 + m) + 2 = 2m + 5 (3 * 3 + m * 3) + 2 = 2m + 5 (9 + 3m) + 2 = 2m + 5 Reorder the terms: 9 + 2 + 3m = 2m + 5 Combine like terms: 9 + 2 = 11 11 + 3m = 2m + 5 Reorder the terms: 11 + 3m = 5 + 2m Solving 11 + 3m = 5 + 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. 11 + 3m + -2m = 5 + 2m + -2m Combine like terms: 3m + -2m = 1m 11 + 1m = 5 + 2m + -2m Combine like terms: 2m + -2m = 0 11 + 1m = 5 + 0 11 + 1m = 5 Add '-11' to each side of the equation. 11 + -11 + 1m = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 1m = 5 + -11 1m = 5 + -11 Combine like terms: 5 + -11 = -6 1m = -6 Divide each side by '1'. m = -6 Simplifying m = -6
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