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Simplifying 3z + -5 + 22 = 25 + -1z Reorder the terms: -5 + 22 + 3z = 25 + -1z Combine like terms: -5 + 22 = 17 17 + 3z = 25 + -1z Solving 17 + 3z = 25 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 17 + 3z + z = 25 + -1z + z Combine like terms: 3z + z = 4z 17 + 4z = 25 + -1z + z Combine like terms: -1z + z = 0 17 + 4z = 25 + 0 17 + 4z = 25 Add '-17' to each side of the equation. 17 + -17 + 4z = 25 + -17 Combine like terms: 17 + -17 = 0 0 + 4z = 25 + -17 4z = 25 + -17 Combine like terms: 25 + -17 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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