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Simplifying 8(2x + 9y + -5z) = 0 (2x * 8 + 9y * 8 + -5z * 8) = 0 (16x + 72y + -40z) = 0 Solving 16x + 72y + -40z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72y' to each side of the equation. 16x + 72y + -72y + -40z = 0 + -72y Combine like terms: 72y + -72y = 0 16x + 0 + -40z = 0 + -72y 16x + -40z = 0 + -72y Remove the zero: 16x + -40z = -72y Add '40z' to each side of the equation. 16x + -40z + 40z = -72y + 40z Combine like terms: -40z + 40z = 0 16x + 0 = -72y + 40z 16x = -72y + 40z Divide each side by '16'. x = -4.5y + 2.5z Simplifying x = -4.5y + 2.5z
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