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Simplifying 5(m + 6) + 3(5 + -3m) = -5(m + -7) + -10 Reorder the terms: 5(6 + m) + 3(5 + -3m) = -5(m + -7) + -10 (6 * 5 + m * 5) + 3(5 + -3m) = -5(m + -7) + -10 (30 + 5m) + 3(5 + -3m) = -5(m + -7) + -10 30 + 5m + (5 * 3 + -3m * 3) = -5(m + -7) + -10 30 + 5m + (15 + -9m) = -5(m + -7) + -10 Reorder the terms: 30 + 15 + 5m + -9m = -5(m + -7) + -10 Combine like terms: 30 + 15 = 45 45 + 5m + -9m = -5(m + -7) + -10 Combine like terms: 5m + -9m = -4m 45 + -4m = -5(m + -7) + -10 Reorder the terms: 45 + -4m = -5(-7 + m) + -10 45 + -4m = (-7 * -5 + m * -5) + -10 45 + -4m = (35 + -5m) + -10 Reorder the terms: 45 + -4m = 35 + -10 + -5m Combine like terms: 35 + -10 = 25 45 + -4m = 25 + -5m Solving 45 + -4m = 25 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 45 + -4m + 5m = 25 + -5m + 5m Combine like terms: -4m + 5m = 1m 45 + 1m = 25 + -5m + 5m Combine like terms: -5m + 5m = 0 45 + 1m = 25 + 0 45 + 1m = 25 Add '-45' to each side of the equation. 45 + -45 + 1m = 25 + -45 Combine like terms: 45 + -45 = 0 0 + 1m = 25 + -45 1m = 25 + -45 Combine like terms: 25 + -45 = -20 1m = -20 Divide each side by '1'. m = -20 Simplifying m = -20
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