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Simplifying 5z + 2 = 6 + -2z Reorder the terms: 2 + 5z = 6 + -2z Solving 2 + 5z = 6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 2 + 5z + 2z = 6 + -2z + 2z Combine like terms: 5z + 2z = 7z 2 + 7z = 6 + -2z + 2z Combine like terms: -2z + 2z = 0 2 + 7z = 6 + 0 2 + 7z = 6 Add '-2' to each side of the equation. 2 + -2 + 7z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 6 + -2 7z = 6 + -2 Combine like terms: 6 + -2 = 4 7z = 4 Divide each side by '7'. z = 0.5714285714 Simplifying z = 0.5714285714
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