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Simplifying 51 + -3(5m + 8) = 20(m + -1) + 25 Reorder the terms: 51 + -3(8 + 5m) = 20(m + -1) + 25 51 + (8 * -3 + 5m * -3) = 20(m + -1) + 25 51 + (-24 + -15m) = 20(m + -1) + 25 Combine like terms: 51 + -24 = 27 27 + -15m = 20(m + -1) + 25 Reorder the terms: 27 + -15m = 20(-1 + m) + 25 27 + -15m = (-1 * 20 + m * 20) + 25 27 + -15m = (-20 + 20m) + 25 Reorder the terms: 27 + -15m = -20 + 25 + 20m Combine like terms: -20 + 25 = 5 27 + -15m = 5 + 20m Solving 27 + -15m = 5 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 27 + -15m + -20m = 5 + 20m + -20m Combine like terms: -15m + -20m = -35m 27 + -35m = 5 + 20m + -20m Combine like terms: 20m + -20m = 0 27 + -35m = 5 + 0 27 + -35m = 5 Add '-27' to each side of the equation. 27 + -27 + -35m = 5 + -27 Combine like terms: 27 + -27 = 0 0 + -35m = 5 + -27 -35m = 5 + -27 Combine like terms: 5 + -27 = -22 -35m = -22 Divide each side by '-35'. m = 0.6285714286 Simplifying m = 0.6285714286
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