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Simplifying 4x + -32y + 4z = 0 Solving 4x + -32y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32y' to each side of the equation. 4x + -32y + 32y + 4z = 0 + 32y Combine like terms: -32y + 32y = 0 4x + 0 + 4z = 0 + 32y 4x + 4z = 0 + 32y Remove the zero: 4x + 4z = 32y Add '-4z' to each side of the equation. 4x + 4z + -4z = 32y + -4z Combine like terms: 4z + -4z = 0 4x + 0 = 32y + -4z 4x = 32y + -4z Divide each side by '4'. x = 8y + -1z Simplifying x = 8y + -1z
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