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Simplifying 8m + 13 + 12m = 24m + 38 + -9m Reorder the terms: 13 + 8m + 12m = 24m + 38 + -9m Combine like terms: 8m + 12m = 20m 13 + 20m = 24m + 38 + -9m Reorder the terms: 13 + 20m = 38 + 24m + -9m Combine like terms: 24m + -9m = 15m 13 + 20m = 38 + 15m Solving 13 + 20m = 38 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 13 + 20m + -15m = 38 + 15m + -15m Combine like terms: 20m + -15m = 5m 13 + 5m = 38 + 15m + -15m Combine like terms: 15m + -15m = 0 13 + 5m = 38 + 0 13 + 5m = 38 Add '-13' to each side of the equation. 13 + -13 + 5m = 38 + -13 Combine like terms: 13 + -13 = 0 0 + 5m = 38 + -13 5m = 38 + -13 Combine like terms: 38 + -13 = 25 5m = 25 Divide each side by '5'. m = 5 Simplifying m = 5
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