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Simplifying 3 + 10z + -2 = 8z + 22 + -5z Reorder the terms: 3 + -2 + 10z = 8z + 22 + -5z Combine like terms: 3 + -2 = 1 1 + 10z = 8z + 22 + -5z Reorder the terms: 1 + 10z = 22 + 8z + -5z Combine like terms: 8z + -5z = 3z 1 + 10z = 22 + 3z Solving 1 + 10z = 22 + 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. 1 + 10z + -3z = 22 + 3z + -3z Combine like terms: 10z + -3z = 7z 1 + 7z = 22 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 7z = 22 + 0 1 + 7z = 22 Add '-1' to each side of the equation. 1 + -1 + 7z = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 7z = 22 + -1 7z = 22 + -1 Combine like terms: 22 + -1 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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