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Simplifying -5(m + -9) + -4(-5m + -8) = 14(m + 3) + 6 Reorder the terms: -5(-9 + m) + -4(-5m + -8) = 14(m + 3) + 6 (-9 * -5 + m * -5) + -4(-5m + -8) = 14(m + 3) + 6 (45 + -5m) + -4(-5m + -8) = 14(m + 3) + 6 Reorder the terms: 45 + -5m + -4(-8 + -5m) = 14(m + 3) + 6 45 + -5m + (-8 * -4 + -5m * -4) = 14(m + 3) + 6 45 + -5m + (32 + 20m) = 14(m + 3) + 6 Reorder the terms: 45 + 32 + -5m + 20m = 14(m + 3) + 6 Combine like terms: 45 + 32 = 77 77 + -5m + 20m = 14(m + 3) + 6 Combine like terms: -5m + 20m = 15m 77 + 15m = 14(m + 3) + 6 Reorder the terms: 77 + 15m = 14(3 + m) + 6 77 + 15m = (3 * 14 + m * 14) + 6 77 + 15m = (42 + 14m) + 6 Reorder the terms: 77 + 15m = 42 + 6 + 14m Combine like terms: 42 + 6 = 48 77 + 15m = 48 + 14m Solving 77 + 15m = 48 + 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. 77 + 15m + -14m = 48 + 14m + -14m Combine like terms: 15m + -14m = 1m 77 + 1m = 48 + 14m + -14m Combine like terms: 14m + -14m = 0 77 + 1m = 48 + 0 77 + 1m = 48 Add '-77' to each side of the equation. 77 + -77 + 1m = 48 + -77 Combine like terms: 77 + -77 = 0 0 + 1m = 48 + -77 1m = 48 + -77 Combine like terms: 48 + -77 = -29 1m = -29 Divide each side by '1'. m = -29 Simplifying m = -29
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