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Simplifying 5m + -8 + 4m = 5 + -1(3m + 39) Reorder the terms: -8 + 5m + 4m = 5 + -1(3m + 39) Combine like terms: 5m + 4m = 9m -8 + 9m = 5 + -1(3m + 39) Reorder the terms: -8 + 9m = 5 + -1(39 + 3m) -8 + 9m = 5 + (39 * -1 + 3m * -1) -8 + 9m = 5 + (-39 + -3m) Combine like terms: 5 + -39 = -34 -8 + 9m = -34 + -3m Solving -8 + 9m = -34 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -8 + 9m + 3m = -34 + -3m + 3m Combine like terms: 9m + 3m = 12m -8 + 12m = -34 + -3m + 3m Combine like terms: -3m + 3m = 0 -8 + 12m = -34 + 0 -8 + 12m = -34 Add '8' to each side of the equation. -8 + 8 + 12m = -34 + 8 Combine like terms: -8 + 8 = 0 0 + 12m = -34 + 8 12m = -34 + 8 Combine like terms: -34 + 8 = -26 12m = -26 Divide each side by '12'. m = -2.166666667 Simplifying m = -2.166666667
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