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Simplifying 2(m + -9) = 5(8 + -1m) Reorder the terms: 2(-9 + m) = 5(8 + -1m) (-9 * 2 + m * 2) = 5(8 + -1m) (-18 + 2m) = 5(8 + -1m) -18 + 2m = (8 * 5 + -1m * 5) -18 + 2m = (40 + -5m) Solving -18 + 2m = 40 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. -18 + 2m + 5m = 40 + -5m + 5m Combine like terms: 2m + 5m = 7m -18 + 7m = 40 + -5m + 5m Combine like terms: -5m + 5m = 0 -18 + 7m = 40 + 0 -18 + 7m = 40 Add '18' to each side of the equation. -18 + 18 + 7m = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 7m = 40 + 18 7m = 40 + 18 Combine like terms: 40 + 18 = 58 7m = 58 Divide each side by '7'. m = 8.285714286 Simplifying m = 8.285714286
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