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Simplifying 3x + -4y + 2z = 8 Solving 3x + -4y + 2z = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x + -4y + 4y + 2z = 8 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + 2z = 8 + 4y 3x + 2z = 8 + 4y Add '-2z' to each side of the equation. 3x + 2z + -2z = 8 + 4y + -2z Combine like terms: 2z + -2z = 0 3x + 0 = 8 + 4y + -2z 3x = 8 + 4y + -2z Divide each side by '3'. x = 2.666666667 + 1.333333333y + -0.6666666667z Simplifying x = 2.666666667 + 1.333333333y + -0.6666666667z
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