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Simplifying 3z + 5 + 2z = 25 + -5z Reorder the terms: 5 + 3z + 2z = 25 + -5z Combine like terms: 3z + 2z = 5z 5 + 5z = 25 + -5z Solving 5 + 5z = 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. 5 + 5z + 5z = 25 + -5z + 5z Combine like terms: 5z + 5z = 10z 5 + 10z = 25 + -5z + 5z Combine like terms: -5z + 5z = 0 5 + 10z = 25 + 0 5 + 10z = 25 Add '-5' to each side of the equation. 5 + -5 + 10z = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 10z = 25 + -5 10z = 25 + -5 Combine like terms: 25 + -5 = 20 10z = 20 Divide each side by '10'. z = 2 Simplifying z = 2
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