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Simplifying (9x + -4y) + -1(2x + -8y) = 0 Remove parenthesis around (9x + -4y) 9x + -4y + -1(2x + -8y) = 0 9x + -4y + (2x * -1 + -8y * -1) = 0 9x + -4y + (-2x + 8y) = 0 Reorder the terms: 9x + -2x + -4y + 8y = 0 Combine like terms: 9x + -2x = 7x 7x + -4y + 8y = 0 Combine like terms: -4y + 8y = 4y 7x + 4y = 0 Solving 7x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 7x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 0 + -4y 7x = 0 + -4y Remove the zero: 7x = -4y Divide each side by '7'. x = -0.5714285714y Simplifying x = -0.5714285714y
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