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Simplifying 3z + -5 + 22 = 25 + -5z Reorder the terms: -5 + 22 + 3z = 25 + -5z Combine like terms: -5 + 22 = 17 17 + 3z = 25 + -5z Solving 17 + 3z = 25 + -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. 17 + 3z + 5z = 25 + -5z + 5z Combine like terms: 3z + 5z = 8z 17 + 8z = 25 + -5z + 5z Combine like terms: -5z + 5z = 0 17 + 8z = 25 + 0 17 + 8z = 25 Add '-17' to each side of the equation. 17 + -17 + 8z = 25 + -17 Combine like terms: 17 + -17 = 0 0 + 8z = 25 + -17 8z = 25 + -17 Combine like terms: 25 + -17 = 8 8z = 8 Divide each side by '8'. z = 1 Simplifying z = 1
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