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Simplifying 3(3m + -5) + -4(m + -5) = 0 Reorder the terms: 3(-5 + 3m) + -4(m + -5) = 0 (-5 * 3 + 3m * 3) + -4(m + -5) = 0 (-15 + 9m) + -4(m + -5) = 0 Reorder the terms: -15 + 9m + -4(-5 + m) = 0 -15 + 9m + (-5 * -4 + m * -4) = 0 -15 + 9m + (20 + -4m) = 0 Reorder the terms: -15 + 20 + 9m + -4m = 0 Combine like terms: -15 + 20 = 5 5 + 9m + -4m = 0 Combine like terms: 9m + -4m = 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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