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Simplifying 13(m + -4) + -3(m + -9) + -5(m + 4) = 0 Reorder the terms: 13(-4 + m) + -3(m + -9) + -5(m + 4) = 0 (-4 * 13 + m * 13) + -3(m + -9) + -5(m + 4) = 0 (-52 + 13m) + -3(m + -9) + -5(m + 4) = 0 Reorder the terms: -52 + 13m + -3(-9 + m) + -5(m + 4) = 0 -52 + 13m + (-9 * -3 + m * -3) + -5(m + 4) = 0 -52 + 13m + (27 + -3m) + -5(m + 4) = 0 Reorder the terms: -52 + 13m + 27 + -3m + -5(4 + m) = 0 -52 + 13m + 27 + -3m + (4 * -5 + m * -5) = 0 -52 + 13m + 27 + -3m + (-20 + -5m) = 0 Reorder the terms: -52 + 27 + -20 + 13m + -3m + -5m = 0 Combine like terms: -52 + 27 = -25 -25 + -20 + 13m + -3m + -5m = 0 Combine like terms: -25 + -20 = -45 -45 + 13m + -3m + -5m = 0 Combine like terms: 13m + -3m = 10m -45 + 10m + -5m = 0 Combine like terms: 10m + -5m = 5m -45 + 5m = 0 Solving -45 + 5m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5m = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5m = 0 + 45 5m = 0 + 45 Combine like terms: 0 + 45 = 45 5m = 45 Divide each side by '5'. m = 9 Simplifying m = 9
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