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Simplifying 5m + -8 + 4m = 5 + -1(3m + 37) Reorder the terms: -8 + 5m + 4m = 5 + -1(3m + 37) Combine like terms: 5m + 4m = 9m -8 + 9m = 5 + -1(3m + 37) Reorder the terms: -8 + 9m = 5 + -1(37 + 3m) -8 + 9m = 5 + (37 * -1 + 3m * -1) -8 + 9m = 5 + (-37 + -3m) Combine like terms: 5 + -37 = -32 -8 + 9m = -32 + -3m Solving -8 + 9m = -32 + -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 = -32 + -3m + 3m Combine like terms: 9m + 3m = 12m -8 + 12m = -32 + -3m + 3m Combine like terms: -3m + 3m = 0 -8 + 12m = -32 + 0 -8 + 12m = -32 Add '8' to each side of the equation. -8 + 8 + 12m = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 12m = -32 + 8 12m = -32 + 8 Combine like terms: -32 + 8 = -24 12m = -24 Divide each side by '12'. m = -2 Simplifying m = -2
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