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Simplifying -5(m + 9) + 3(5m + 6) = 9(m + -4) + 7 Reorder the terms: -5(9 + m) + 3(5m + 6) = 9(m + -4) + 7 (9 * -5 + m * -5) + 3(5m + 6) = 9(m + -4) + 7 (-45 + -5m) + 3(5m + 6) = 9(m + -4) + 7 Reorder the terms: -45 + -5m + 3(6 + 5m) = 9(m + -4) + 7 -45 + -5m + (6 * 3 + 5m * 3) = 9(m + -4) + 7 -45 + -5m + (18 + 15m) = 9(m + -4) + 7 Reorder the terms: -45 + 18 + -5m + 15m = 9(m + -4) + 7 Combine like terms: -45 + 18 = -27 -27 + -5m + 15m = 9(m + -4) + 7 Combine like terms: -5m + 15m = 10m -27 + 10m = 9(m + -4) + 7 Reorder the terms: -27 + 10m = 9(-4 + m) + 7 -27 + 10m = (-4 * 9 + m * 9) + 7 -27 + 10m = (-36 + 9m) + 7 Reorder the terms: -27 + 10m = -36 + 7 + 9m Combine like terms: -36 + 7 = -29 -27 + 10m = -29 + 9m Solving -27 + 10m = -29 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -27 + 10m + -9m = -29 + 9m + -9m Combine like terms: 10m + -9m = 1m -27 + 1m = -29 + 9m + -9m Combine like terms: 9m + -9m = 0 -27 + 1m = -29 + 0 -27 + 1m = -29 Add '27' to each side of the equation. -27 + 27 + 1m = -29 + 27 Combine like terms: -27 + 27 = 0 0 + 1m = -29 + 27 1m = -29 + 27 Combine like terms: -29 + 27 = -2 1m = -2 Divide each side by '1'. m = -2 Simplifying m = -2
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