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Simplifying 10(3m + 1) + m = 5(4m + -3) + 6m Reorder the terms: 10(1 + 3m) + m = 5(4m + -3) + 6m (1 * 10 + 3m * 10) + m = 5(4m + -3) + 6m (10 + 30m) + m = 5(4m + -3) + 6m Combine like terms: 30m + m = 31m 10 + 31m = 5(4m + -3) + 6m Reorder the terms: 10 + 31m = 5(-3 + 4m) + 6m 10 + 31m = (-3 * 5 + 4m * 5) + 6m 10 + 31m = (-15 + 20m) + 6m Combine like terms: 20m + 6m = 26m 10 + 31m = -15 + 26m Solving 10 + 31m = -15 + 26m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26m' to each side of the equation. 10 + 31m + -26m = -15 + 26m + -26m Combine like terms: 31m + -26m = 5m 10 + 5m = -15 + 26m + -26m Combine like terms: 26m + -26m = 0 10 + 5m = -15 + 0 10 + 5m = -15 Add '-10' to each side of the equation. 10 + -10 + 5m = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 5m = -15 + -10 5m = -15 + -10 Combine like terms: -15 + -10 = -25 5m = -25 Divide each side by '5'. m = -5 Simplifying m = -5
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