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Simplifying 4(5x + -6y) + -1(4x + -9y) = 0 (5x * 4 + -6y * 4) + -1(4x + -9y) = 0 (20x + -24y) + -1(4x + -9y) = 0 20x + -24y + (4x * -1 + -9y * -1) = 0 20x + -24y + (-4x + 9y) = 0 Reorder the terms: 20x + -4x + -24y + 9y = 0 Combine like terms: 20x + -4x = 16x 16x + -24y + 9y = 0 Combine like terms: -24y + 9y = -15y 16x + -15y = 0 Solving 16x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 16x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 16x + 0 = 0 + 15y 16x = 0 + 15y Remove the zero: 16x = 15y Divide each side by '16'. x = 0.9375y Simplifying x = 0.9375y
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