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Simplifying 3(2x + m) + 5(4x + -3m) = 0 Reorder the terms: 3(m + 2x) + 5(4x + -3m) = 0 (m * 3 + 2x * 3) + 5(4x + -3m) = 0 (3m + 6x) + 5(4x + -3m) = 0 Reorder the terms: 3m + 6x + 5(-3m + 4x) = 0 3m + 6x + (-3m * 5 + 4x * 5) = 0 3m + 6x + (-15m + 20x) = 0 Reorder the terms: 3m + -15m + 6x + 20x = 0 Combine like terms: 3m + -15m = -12m -12m + 6x + 20x = 0 Combine like terms: 6x + 20x = 26x -12m + 26x = 0 Solving -12m + 26x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26x' to each side of the equation. -12m + 26x + -26x = 0 + -26x Combine like terms: 26x + -26x = 0 -12m + 0 = 0 + -26x -12m = 0 + -26x Remove the zero: -12m = -26x Divide each side by '-12'. m = 2.166666667x Simplifying m = 2.166666667x
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