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Simplifying 7x + 9y + -3(7x + -6y + 8z) = 0 7x + 9y + (7x * -3 + -6y * -3 + 8z * -3) = 0 7x + 9y + (-21x + 18y + -24z) = 0 Reorder the terms: 7x + -21x + 9y + 18y + -24z = 0 Combine like terms: 7x + -21x = -14x -14x + 9y + 18y + -24z = 0 Combine like terms: 9y + 18y = 27y -14x + 27y + -24z = 0 Solving -14x + 27y + -24z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27y' to each side of the equation. -14x + 27y + -27y + -24z = 0 + -27y Combine like terms: 27y + -27y = 0 -14x + 0 + -24z = 0 + -27y -14x + -24z = 0 + -27y Remove the zero: -14x + -24z = -27y Add '24z' to each side of the equation. -14x + -24z + 24z = -27y + 24z Combine like terms: -24z + 24z = 0 -14x + 0 = -27y + 24z -14x = -27y + 24z Divide each side by '-14'. x = 1.928571429y + -1.714285714z Simplifying x = 1.928571429y + -1.714285714z
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