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Simplifying 8x + 8y + -4(8x + -3y + 2z) = 0 8x + 8y + (8x * -4 + -3y * -4 + 2z * -4) = 0 8x + 8y + (-32x + 12y + -8z) = 0 Reorder the terms: 8x + -32x + 8y + 12y + -8z = 0 Combine like terms: 8x + -32x = -24x -24x + 8y + 12y + -8z = 0 Combine like terms: 8y + 12y = 20y -24x + 20y + -8z = 0 Solving -24x + 20y + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. -24x + 20y + -20y + -8z = 0 + -20y Combine like terms: 20y + -20y = 0 -24x + 0 + -8z = 0 + -20y -24x + -8z = 0 + -20y Remove the zero: -24x + -8z = -20y Add '8z' to each side of the equation. -24x + -8z + 8z = -20y + 8z Combine like terms: -8z + 8z = 0 -24x + 0 = -20y + 8z -24x = -20y + 8z Divide each side by '-24'. x = 0.8333333333y + -0.3333333333z Simplifying x = 0.8333333333y + -0.3333333333z
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