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Simplifying -5z + 6z = 2z + 2 + 6z Combine like terms: -5z + 6z = 1z 1z = 2z + 2 + 6z Reorder the terms: 1z = 2 + 2z + 6z Combine like terms: 2z + 6z = 8z 1z = 2 + 8z Solving 1z = 2 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 1z + -8z = 2 + 8z + -8z Combine like terms: 1z + -8z = -7z -7z = 2 + 8z + -8z Combine like terms: 8z + -8z = 0 -7z = 2 + 0 -7z = 2 Divide each side by '-7'. z = -0.2857142857 Simplifying z = -0.2857142857
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