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Simplifying 9(2m + 1) + 5(5m + 3) = -62 Reorder the terms: 9(1 + 2m) + 5(5m + 3) = -62 (1 * 9 + 2m * 9) + 5(5m + 3) = -62 (9 + 18m) + 5(5m + 3) = -62 Reorder the terms: 9 + 18m + 5(3 + 5m) = -62 9 + 18m + (3 * 5 + 5m * 5) = -62 9 + 18m + (15 + 25m) = -62 Reorder the terms: 9 + 15 + 18m + 25m = -62 Combine like terms: 9 + 15 = 24 24 + 18m + 25m = -62 Combine like terms: 18m + 25m = 43m 24 + 43m = -62 Solving 24 + 43m = -62 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 = -62 + -24 Combine like terms: 24 + -24 = 0 0 + 43m = -62 + -24 43m = -62 + -24 Combine like terms: -62 + -24 = -86 43m = -86 Divide each side by '43'. m = -2 Simplifying m = -2
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