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Simplifying 2m + -8 = 5 + -4(3m + -9) Reorder the terms: -8 + 2m = 5 + -4(3m + -9) Reorder the terms: -8 + 2m = 5 + -4(-9 + 3m) -8 + 2m = 5 + (-9 * -4 + 3m * -4) -8 + 2m = 5 + (36 + -12m) Combine like terms: 5 + 36 = 41 -8 + 2m = 41 + -12m Solving -8 + 2m = 41 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -8 + 2m + 12m = 41 + -12m + 12m Combine like terms: 2m + 12m = 14m -8 + 14m = 41 + -12m + 12m Combine like terms: -12m + 12m = 0 -8 + 14m = 41 + 0 -8 + 14m = 41 Add '8' to each side of the equation. -8 + 8 + 14m = 41 + 8 Combine like terms: -8 + 8 = 0 0 + 14m = 41 + 8 14m = 41 + 8 Combine like terms: 41 + 8 = 49 14m = 49 Divide each side by '14'. m = 3.5 Simplifying m = 3.5
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