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Simplifying (2m + 1) * 9 + 5(5m + 3) = 0 Reorder the terms: (1 + 2m) * 9 + 5(5m + 3) = 0 Reorder the terms for easier multiplication: 9(1 + 2m) + 5(5m + 3) = 0 (1 * 9 + 2m * 9) + 5(5m + 3) = 0 (9 + 18m) + 5(5m + 3) = 0 Reorder the terms: 9 + 18m + 5(3 + 5m) = 0 9 + 18m + (3 * 5 + 5m * 5) = 0 9 + 18m + (15 + 25m) = 0 Reorder the terms: 9 + 15 + 18m + 25m = 0 Combine like terms: 9 + 15 = 24 24 + 18m + 25m = 0 Combine like terms: 18m + 25m = 43m 24 + 43m = 0 Solving 24 + 43m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 43m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 43m = 0 + -24 43m = 0 + -24 Combine like terms: 0 + -24 = -24 43m = -24 Divide each side by '43'. m = -0.5581395349 Simplifying m = -0.5581395349
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