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Simplifying 3(5m + -2) + -2(4m + -5) = 0 Reorder the terms: 3(-2 + 5m) + -2(4m + -5) = 0 (-2 * 3 + 5m * 3) + -2(4m + -5) = 0 (-6 + 15m) + -2(4m + -5) = 0 Reorder the terms: -6 + 15m + -2(-5 + 4m) = 0 -6 + 15m + (-5 * -2 + 4m * -2) = 0 -6 + 15m + (10 + -8m) = 0 Reorder the terms: -6 + 10 + 15m + -8m = 0 Combine like terms: -6 + 10 = 4 4 + 15m + -8m = 0 Combine like terms: 15m + -8m = 7m 4 + 7m = 0 Solving 4 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 0 + -4 7m = 0 + -4 Combine like terms: 0 + -4 = -4 7m = -4 Divide each side by '7'. m = -0.5714285714 Simplifying m = -0.5714285714
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