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Simplifying 3(3m + 1) + -2(2m + -5) = 24 Reorder the terms: 3(1 + 3m) + -2(2m + -5) = 24 (1 * 3 + 3m * 3) + -2(2m + -5) = 24 (3 + 9m) + -2(2m + -5) = 24 Reorder the terms: 3 + 9m + -2(-5 + 2m) = 24 3 + 9m + (-5 * -2 + 2m * -2) = 24 3 + 9m + (10 + -4m) = 24 Reorder the terms: 3 + 10 + 9m + -4m = 24 Combine like terms: 3 + 10 = 13 13 + 9m + -4m = 24 Combine like terms: 9m + -4m = 5m 13 + 5m = 24 Solving 13 + 5m = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5m = 24 + -13 Combine like terms: 13 + -13 = 0 0 + 5m = 24 + -13 5m = 24 + -13 Combine like terms: 24 + -13 = 11 5m = 11 Divide each side by '5'. m = 2.2 Simplifying m = 2.2
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