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Simplifying 2(4z + -2x + y) = 0 Reorder the terms: 2(-2x + y + 4z) = 0 (-2x * 2 + y * 2 + 4z * 2) = 0 (-4x + 2y + 8z) = 0 Solving -4x + 2y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -4x + 2y + -2y + 8z = 0 + -2y Combine like terms: 2y + -2y = 0 -4x + 0 + 8z = 0 + -2y -4x + 8z = 0 + -2y Remove the zero: -4x + 8z = -2y Add '-8z' to each side of the equation. -4x + 8z + -8z = -2y + -8z Combine like terms: 8z + -8z = 0 -4x + 0 = -2y + -8z -4x = -2y + -8z Divide each side by '-4'. x = 0.5y + 2z Simplifying x = 0.5y + 2z
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