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Simplifying 8x + 12y + -4z = 0 Solving 8x + 12y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 8x + 12y + -12y + -4z = 0 + -12y Combine like terms: 12y + -12y = 0 8x + 0 + -4z = 0 + -12y 8x + -4z = 0 + -12y Remove the zero: 8x + -4z = -12y Add '4z' to each side of the equation. 8x + -4z + 4z = -12y + 4z Combine like terms: -4z + 4z = 0 8x + 0 = -12y + 4z 8x = -12y + 4z Divide each side by '8'. x = -1.5y + 0.5z Simplifying x = -1.5y + 0.5z
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