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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 = -31 -8 + 2m = -31 + -12m Solving -8 + 2m = -31 + -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 = -31 + -12m + 12m Combine like terms: 2m + 12m = 14m -8 + 14m = -31 + -12m + 12m Combine like terms: -12m + 12m = 0 -8 + 14m = -31 + 0 -8 + 14m = -31 Add '8' to each side of the equation. -8 + 8 + 14m = -31 + 8 Combine like terms: -8 + 8 = 0 0 + 14m = -31 + 8 14m = -31 + 8 Combine like terms: -31 + 8 = -23 14m = -23 Divide each side by '14'. m = -1.642857143 Simplifying m = -1.642857143
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