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Simplifying -3(4m + 2) + 5(m + -5) = 0 Reorder the terms: -3(2 + 4m) + 5(m + -5) = 0 (2 * -3 + 4m * -3) + 5(m + -5) = 0 (-6 + -12m) + 5(m + -5) = 0 Reorder the terms: -6 + -12m + 5(-5 + m) = 0 -6 + -12m + (-5 * 5 + m * 5) = 0 -6 + -12m + (-25 + 5m) = 0 Reorder the terms: -6 + -25 + -12m + 5m = 0 Combine like terms: -6 + -25 = -31 -31 + -12m + 5m = 0 Combine like terms: -12m + 5m = -7m -31 + -7m = 0 Solving -31 + -7m = 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 + -7m = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -7m = 0 + 31 -7m = 0 + 31 Combine like terms: 0 + 31 = 31 -7m = 31 Divide each side by '-7'. m = -4.428571429 Simplifying m = -4.428571429
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