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Simplifying (8x + -4y) + -1(-8x + 5y) = 0 Remove parenthesis around (8x + -4y) 8x + -4y + -1(-8x + 5y) = 0 8x + -4y + (-8x * -1 + 5y * -1) = 0 8x + -4y + (8x + -5y) = 0 Reorder the terms: 8x + 8x + -4y + -5y = 0 Combine like terms: 8x + 8x = 16x 16x + -4y + -5y = 0 Combine like terms: -4y + -5y = -9y 16x + -9y = 0 Solving 16x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 16x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 16x + 0 = 0 + 9y 16x = 0 + 9y Remove the zero: 16x = 9y Divide each side by '16'. x = 0.5625y Simplifying x = 0.5625y
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