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Simplifying -4(3m + -7) + 13(m + -5) = 12 + -6 Reorder the terms: -4(-7 + 3m) + 13(m + -5) = 12 + -6 (-7 * -4 + 3m * -4) + 13(m + -5) = 12 + -6 (28 + -12m) + 13(m + -5) = 12 + -6 Reorder the terms: 28 + -12m + 13(-5 + m) = 12 + -6 28 + -12m + (-5 * 13 + m * 13) = 12 + -6 28 + -12m + (-65 + 13m) = 12 + -6 Reorder the terms: 28 + -65 + -12m + 13m = 12 + -6 Combine like terms: 28 + -65 = -37 -37 + -12m + 13m = 12 + -6 Combine like terms: -12m + 13m = 1m -37 + 1m = 12 + -6 Combine like terms: 12 + -6 = 6 -37 + 1m = 6 Solving -37 + 1m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1m = 6 + 37 Combine like terms: -37 + 37 = 0 0 + 1m = 6 + 37 1m = 6 + 37 Combine like terms: 6 + 37 = 43 1m = 43 Divide each side by '1'. m = 43 Simplifying m = 43
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