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Simplifying -5(m + -7) + 7(3m + 4) = 15(m + 5) + -8 Reorder the terms: -5(-7 + m) + 7(3m + 4) = 15(m + 5) + -8 (-7 * -5 + m * -5) + 7(3m + 4) = 15(m + 5) + -8 (35 + -5m) + 7(3m + 4) = 15(m + 5) + -8 Reorder the terms: 35 + -5m + 7(4 + 3m) = 15(m + 5) + -8 35 + -5m + (4 * 7 + 3m * 7) = 15(m + 5) + -8 35 + -5m + (28 + 21m) = 15(m + 5) + -8 Reorder the terms: 35 + 28 + -5m + 21m = 15(m + 5) + -8 Combine like terms: 35 + 28 = 63 63 + -5m + 21m = 15(m + 5) + -8 Combine like terms: -5m + 21m = 16m 63 + 16m = 15(m + 5) + -8 Reorder the terms: 63 + 16m = 15(5 + m) + -8 63 + 16m = (5 * 15 + m * 15) + -8 63 + 16m = (75 + 15m) + -8 Reorder the terms: 63 + 16m = 75 + -8 + 15m Combine like terms: 75 + -8 = 67 63 + 16m = 67 + 15m Solving 63 + 16m = 67 + 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. 63 + 16m + -15m = 67 + 15m + -15m Combine like terms: 16m + -15m = 1m 63 + 1m = 67 + 15m + -15m Combine like terms: 15m + -15m = 0 63 + 1m = 67 + 0 63 + 1m = 67 Add '-63' to each side of the equation. 63 + -63 + 1m = 67 + -63 Combine like terms: 63 + -63 = 0 0 + 1m = 67 + -63 1m = 67 + -63 Combine like terms: 67 + -63 = 4 1m = 4 Divide each side by '1'. m = 4 Simplifying m = 4
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