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Simplifying 8x + 6y + -9(8x + -5y + 6z) = 0 8x + 6y + (8x * -9 + -5y * -9 + 6z * -9) = 0 8x + 6y + (-72x + 45y + -54z) = 0 Reorder the terms: 8x + -72x + 6y + 45y + -54z = 0 Combine like terms: 8x + -72x = -64x -64x + 6y + 45y + -54z = 0 Combine like terms: 6y + 45y = 51y -64x + 51y + -54z = 0 Solving -64x + 51y + -54z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51y' to each side of the equation. -64x + 51y + -51y + -54z = 0 + -51y Combine like terms: 51y + -51y = 0 -64x + 0 + -54z = 0 + -51y -64x + -54z = 0 + -51y Remove the zero: -64x + -54z = -51y Add '54z' to each side of the equation. -64x + -54z + 54z = -51y + 54z Combine like terms: -54z + 54z = 0 -64x + 0 = -51y + 54z -64x = -51y + 54z Divide each side by '-64'. x = 0.796875y + -0.84375z Simplifying x = 0.796875y + -0.84375z
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