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Simplifying -4(3m + -9) + 13(m + -3) = 14 + -8 Reorder the terms: -4(-9 + 3m) + 13(m + -3) = 14 + -8 (-9 * -4 + 3m * -4) + 13(m + -3) = 14 + -8 (36 + -12m) + 13(m + -3) = 14 + -8 Reorder the terms: 36 + -12m + 13(-3 + m) = 14 + -8 36 + -12m + (-3 * 13 + m * 13) = 14 + -8 36 + -12m + (-39 + 13m) = 14 + -8 Reorder the terms: 36 + -39 + -12m + 13m = 14 + -8 Combine like terms: 36 + -39 = -3 -3 + -12m + 13m = 14 + -8 Combine like terms: -12m + 13m = 1m -3 + 1m = 14 + -8 Combine like terms: 14 + -8 = 6 -3 + 1m = 6 Solving -3 + 1m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1m = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 6 + 3 1m = 6 + 3 Combine like terms: 6 + 3 = 9 1m = 9 Divide each side by '1'. m = 9 Simplifying m = 9
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