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Simplifying 2z + 6z = 3z + 7 + -2z Combine like terms: 2z + 6z = 8z 8z = 3z + 7 + -2z Reorder the terms: 8z = 7 + 3z + -2z Combine like terms: 3z + -2z = 1z 8z = 7 + 1z Solving 8z = 7 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 8z + -1z = 7 + 1z + -1z Combine like terms: 8z + -1z = 7z 7z = 7 + 1z + -1z Combine like terms: 1z + -1z = 0 7z = 7 + 0 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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