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Simplifying 8(4x + 6y + -2z) = 0 (4x * 8 + 6y * 8 + -2z * 8) = 0 (32x + 48y + -16z) = 0 Solving 32x + 48y + -16z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48y' to each side of the equation. 32x + 48y + -48y + -16z = 0 + -48y Combine like terms: 48y + -48y = 0 32x + 0 + -16z = 0 + -48y 32x + -16z = 0 + -48y Remove the zero: 32x + -16z = -48y Add '16z' to each side of the equation. 32x + -16z + 16z = -48y + 16z Combine like terms: -16z + 16z = 0 32x + 0 = -48y + 16z 32x = -48y + 16z Divide each side by '32'. x = -1.5y + 0.5z Simplifying x = -1.5y + 0.5z
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