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Simplifying 5 + 10z + -2 = 8z + 10 + -5z Reorder the terms: 5 + -2 + 10z = 8z + 10 + -5z Combine like terms: 5 + -2 = 3 3 + 10z = 8z + 10 + -5z Reorder the terms: 3 + 10z = 10 + 8z + -5z Combine like terms: 8z + -5z = 3z 3 + 10z = 10 + 3z Solving 3 + 10z = 10 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 10z + -3z = 10 + 3z + -3z Combine like terms: 10z + -3z = 7z 3 + 7z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 7z = 10 + 0 3 + 7z = 10 Add '-3' to each side of the equation. 3 + -3 + 7z = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = 10 + -3 7z = 10 + -3 Combine like terms: 10 + -3 = 7 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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