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Simplifying 5z + 2z + 6 + -6 = 5z + 5 + 1 Reorder the terms: 6 + -6 + 5z + 2z = 5z + 5 + 1 Combine like terms: 6 + -6 = 0 0 + 5z + 2z = 5z + 5 + 1 5z + 2z = 5z + 5 + 1 Combine like terms: 5z + 2z = 7z 7z = 5z + 5 + 1 Reorder the terms: 7z = 5 + 1 + 5z Combine like terms: 5 + 1 = 6 7z = 6 + 5z Solving 7z = 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. 7z + -5z = 6 + 5z + -5z Combine like terms: 7z + -5z = 2z 2z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 2z = 6 + 0 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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