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Simplifying z + -1(x + -1y) * 0.65 = w Reorder the terms for easier multiplication: z + -1 * 0.65(x + -1y) = w Multiply -1 * 0.65 z + -0.65(x + -1y) = w z + (x * -0.65 + -1y * -0.65) = w z + (-0.65x + 0.65y) = w Reorder the terms: -0.65x + 0.65y + z = w Solving -0.65x + 0.65y + z = w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65y' to each side of the equation. -0.65x + 0.65y + -0.65y + z = w + -0.65y Combine like terms: 0.65y + -0.65y = 0.00 -0.65x + 0.00 + z = w + -0.65y -0.65x + z = w + -0.65y Add '-1z' to each side of the equation. -0.65x + z + -1z = w + -0.65y + -1z Combine like terms: z + -1z = 0 -0.65x + 0 = w + -0.65y + -1z -0.65x = w + -0.65y + -1z Divide each side by '-0.65'. x = -1.538461538w + y + 1.538461538z Simplifying x = -1.538461538w + y + 1.538461538z
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