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Simplifying -1(7 + -5m) + 4(m + -6) = 0 (7 * -1 + -5m * -1) + 4(m + -6) = 0 (-7 + 5m) + 4(m + -6) = 0 Reorder the terms: -7 + 5m + 4(-6 + m) = 0 -7 + 5m + (-6 * 4 + m * 4) = 0 -7 + 5m + (-24 + 4m) = 0 Reorder the terms: -7 + -24 + 5m + 4m = 0 Combine like terms: -7 + -24 = -31 -31 + 5m + 4m = 0 Combine like terms: 5m + 4m = 9m -31 + 9m = 0 Solving -31 + 9m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 9m = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 9m = 0 + 31 9m = 0 + 31 Combine like terms: 0 + 31 = 31 9m = 31 Divide each side by '9'. m = 3.444444444 Simplifying m = 3.444444444
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