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Simplifying 4(3m + -6) + 13(m + -5) = 12 + -9 Reorder the terms: 4(-6 + 3m) + 13(m + -5) = 12 + -9 (-6 * 4 + 3m * 4) + 13(m + -5) = 12 + -9 (-24 + 12m) + 13(m + -5) = 12 + -9 Reorder the terms: -24 + 12m + 13(-5 + m) = 12 + -9 -24 + 12m + (-5 * 13 + m * 13) = 12 + -9 -24 + 12m + (-65 + 13m) = 12 + -9 Reorder the terms: -24 + -65 + 12m + 13m = 12 + -9 Combine like terms: -24 + -65 = -89 -89 + 12m + 13m = 12 + -9 Combine like terms: 12m + 13m = 25m -89 + 25m = 12 + -9 Combine like terms: 12 + -9 = 3 -89 + 25m = 3 Solving -89 + 25m = 3 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + 25m = 3 + 89 Combine like terms: -89 + 89 = 0 0 + 25m = 3 + 89 25m = 3 + 89 Combine like terms: 3 + 89 = 92 25m = 92 Divide each side by '25'. m = 3.68 Simplifying m = 3.68
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