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Simplifying 3(5m + 7) + 5(m + 5) = 6 Reorder the terms: 3(7 + 5m) + 5(m + 5) = 6 (7 * 3 + 5m * 3) + 5(m + 5) = 6 (21 + 15m) + 5(m + 5) = 6 Reorder the terms: 21 + 15m + 5(5 + m) = 6 21 + 15m + (5 * 5 + m * 5) = 6 21 + 15m + (25 + 5m) = 6 Reorder the terms: 21 + 25 + 15m + 5m = 6 Combine like terms: 21 + 25 = 46 46 + 15m + 5m = 6 Combine like terms: 15m + 5m = 20m 46 + 20m = 6 Solving 46 + 20m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 20m = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 20m = 6 + -46 20m = 6 + -46 Combine like terms: 6 + -46 = -40 20m = -40 Divide each side by '20'. m = -2 Simplifying m = -2
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