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Simplifying 3x + -8y + 2z = 6 Solving 3x + -8y + 2z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 3x + -8y + 8y + 2z = 6 + 8y Combine like terms: -8y + 8y = 0 3x + 0 + 2z = 6 + 8y 3x + 2z = 6 + 8y Add '-2z' to each side of the equation. 3x + 2z + -2z = 6 + 8y + -2z Combine like terms: 2z + -2z = 0 3x + 0 = 6 + 8y + -2z 3x = 6 + 8y + -2z Divide each side by '3'. x = 2 + 2.666666667y + -0.6666666667z Simplifying x = 2 + 2.666666667y + -0.6666666667z
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