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Simplifying -9(m + 8) + -4(9 + -6m) = 14(m + -9) + -2 Reorder the terms: -9(8 + m) + -4(9 + -6m) = 14(m + -9) + -2 (8 * -9 + m * -9) + -4(9 + -6m) = 14(m + -9) + -2 (-72 + -9m) + -4(9 + -6m) = 14(m + -9) + -2 -72 + -9m + (9 * -4 + -6m * -4) = 14(m + -9) + -2 -72 + -9m + (-36 + 24m) = 14(m + -9) + -2 Reorder the terms: -72 + -36 + -9m + 24m = 14(m + -9) + -2 Combine like terms: -72 + -36 = -108 -108 + -9m + 24m = 14(m + -9) + -2 Combine like terms: -9m + 24m = 15m -108 + 15m = 14(m + -9) + -2 Reorder the terms: -108 + 15m = 14(-9 + m) + -2 -108 + 15m = (-9 * 14 + m * 14) + -2 -108 + 15m = (-126 + 14m) + -2 Reorder the terms: -108 + 15m = -126 + -2 + 14m Combine like terms: -126 + -2 = -128 -108 + 15m = -128 + 14m Solving -108 + 15m = -128 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. -108 + 15m + -14m = -128 + 14m + -14m Combine like terms: 15m + -14m = 1m -108 + 1m = -128 + 14m + -14m Combine like terms: 14m + -14m = 0 -108 + 1m = -128 + 0 -108 + 1m = -128 Add '108' to each side of the equation. -108 + 108 + 1m = -128 + 108 Combine like terms: -108 + 108 = 0 0 + 1m = -128 + 108 1m = -128 + 108 Combine like terms: -128 + 108 = -20 1m = -20 Divide each side by '1'. m = -20 Simplifying m = -20
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