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Simplifying 2z + 5z = 5z + 7 + 5z Combine like terms: 2z + 5z = 7z 7z = 5z + 7 + 5z Reorder the terms: 7z = 7 + 5z + 5z Combine like terms: 5z + 5z = 10z 7z = 7 + 10z Solving 7z = 7 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 7z + -10z = 7 + 10z + -10z Combine like terms: 7z + -10z = -3z -3z = 7 + 10z + -10z Combine like terms: 10z + -10z = 0 -3z = 7 + 0 -3z = 7 Divide each side by '-3'. z = -2.333333333 Simplifying z = -2.333333333
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