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Simplifying 4(x + y + -1z) = 0 (x * 4 + y * 4 + -1z * 4) = 0 (4x + 4y + -4z) = 0 Solving 4x + 4y + -4z = 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. 4x + 4y + -4y + -4z = 0 + -4y Combine like terms: 4y + -4y = 0 4x + 0 + -4z = 0 + -4y 4x + -4z = 0 + -4y Remove the zero: 4x + -4z = -4y Add '4z' to each side of the equation. 4x + -4z + 4z = -4y + 4z Combine like terms: -4z + 4z = 0 4x + 0 = -4y + 4z 4x = -4y + 4z Divide each side by '4'. x = -1y + z Simplifying x = -1y + z
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