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Simplifying 2m + -3(9m + 1) = 7m + 4(7 + 5m) Reorder the terms: 2m + -3(1 + 9m) = 7m + 4(7 + 5m) 2m + (1 * -3 + 9m * -3) = 7m + 4(7 + 5m) 2m + (-3 + -27m) = 7m + 4(7 + 5m) Reorder the terms: -3 + 2m + -27m = 7m + 4(7 + 5m) Combine like terms: 2m + -27m = -25m -3 + -25m = 7m + 4(7 + 5m) -3 + -25m = 7m + (7 * 4 + 5m * 4) -3 + -25m = 7m + (28 + 20m) Reorder the terms: -3 + -25m = 28 + 7m + 20m Combine like terms: 7m + 20m = 27m -3 + -25m = 28 + 27m Solving -3 + -25m = 28 + 27m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-27m' to each side of the equation. -3 + -25m + -27m = 28 + 27m + -27m Combine like terms: -25m + -27m = -52m -3 + -52m = 28 + 27m + -27m Combine like terms: 27m + -27m = 0 -3 + -52m = 28 + 0 -3 + -52m = 28 Add '3' to each side of the equation. -3 + 3 + -52m = 28 + 3 Combine like terms: -3 + 3 = 0 0 + -52m = 28 + 3 -52m = 28 + 3 Combine like terms: 28 + 3 = 31 -52m = 31 Divide each side by '-52'. m = -0.5961538462 Simplifying m = -0.5961538462
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