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Simplifying 2z + -8z + 2z = 2z + 6 + 3z Combine like terms: 2z + -8z = -6z -6z + 2z = 2z + 6 + 3z Combine like terms: -6z + 2z = -4z -4z = 2z + 6 + 3z Reorder the terms: -4z = 6 + 2z + 3z Combine like terms: 2z + 3z = 5z -4z = 6 + 5z Solving -4z = 6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4z + -5z = 6 + 5z + -5z Combine like terms: -4z + -5z = -9z -9z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 -9z = 6 + 0 -9z = 6 Divide each side by '-9'. z = -0.6666666667 Simplifying z = -0.6666666667
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