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Simplifying -17(6x + -4y + 2z) = 0 (6x * -17 + -4y * -17 + 2z * -17) = 0 (-102x + 68y + -34z) = 0 Solving -102x + 68y + -34z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68y' to each side of the equation. -102x + 68y + -68y + -34z = 0 + -68y Combine like terms: 68y + -68y = 0 -102x + 0 + -34z = 0 + -68y -102x + -34z = 0 + -68y Remove the zero: -102x + -34z = -68y Add '34z' to each side of the equation. -102x + -34z + 34z = -68y + 34z Combine like terms: -34z + 34z = 0 -102x + 0 = -68y + 34z -102x = -68y + 34z Divide each side by '-102'. x = 0.6666666667y + -0.3333333333z Simplifying x = 0.6666666667y + -0.3333333333z
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