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Simplifying 3(2m + 3) + 9 = 5m + 8 Reorder the terms: 3(3 + 2m) + 9 = 5m + 8 (3 * 3 + 2m * 3) + 9 = 5m + 8 (9 + 6m) + 9 = 5m + 8 Reorder the terms: 9 + 9 + 6m = 5m + 8 Combine like terms: 9 + 9 = 18 18 + 6m = 5m + 8 Reorder the terms: 18 + 6m = 8 + 5m Solving 18 + 6m = 8 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 18 + 6m + -5m = 8 + 5m + -5m Combine like terms: 6m + -5m = 1m 18 + 1m = 8 + 5m + -5m Combine like terms: 5m + -5m = 0 18 + 1m = 8 + 0 18 + 1m = 8 Add '-18' to each side of the equation. 18 + -18 + 1m = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 1m = 8 + -18 1m = 8 + -18 Combine like terms: 8 + -18 = -10 1m = -10 Divide each side by '1'. m = -10 Simplifying m = -10
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