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Simplifying 2x + 4y + -9(2x + -8y + 6z) = 0 2x + 4y + (2x * -9 + -8y * -9 + 6z * -9) = 0 2x + 4y + (-18x + 72y + -54z) = 0 Reorder the terms: 2x + -18x + 4y + 72y + -54z = 0 Combine like terms: 2x + -18x = -16x -16x + 4y + 72y + -54z = 0 Combine like terms: 4y + 72y = 76y -16x + 76y + -54z = 0 Solving -16x + 76y + -54z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76y' to each side of the equation. -16x + 76y + -76y + -54z = 0 + -76y Combine like terms: 76y + -76y = 0 -16x + 0 + -54z = 0 + -76y -16x + -54z = 0 + -76y Remove the zero: -16x + -54z = -76y Add '54z' to each side of the equation. -16x + -54z + 54z = -76y + 54z Combine like terms: -54z + 54z = 0 -16x + 0 = -76y + 54z -16x = -76y + 54z Divide each side by '-16'. x = 4.75y + -3.375z Simplifying x = 4.75y + -3.375z
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