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Simplifying 5(-8m + -4) + (-5)(-9m + -5) = 0 Reorder the terms: 5(-4 + -8m) + (-5)(-9m + -5) = 0 (-4 * 5 + -8m * 5) + (-5)(-9m + -5) = 0 (-20 + -40m) + (-5)(-9m + -5) = 0 Reorder the terms: -20 + -40m + -5(-5 + -9m) = 0 -20 + -40m + (-5 * -5 + -9m * -5) = 0 -20 + -40m + (25 + 45m) = 0 Reorder the terms: -20 + 25 + -40m + 45m = 0 Combine like terms: -20 + 25 = 5 5 + -40m + 45m = 0 Combine like terms: -40m + 45m = 5m 5 + 5m = 0 Solving 5 + 5m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5m = 0 + -5 5m = 0 + -5 Combine like terms: 0 + -5 = -5 5m = -5 Divide each side by '5'. m = -1 Simplifying m = -1
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