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Simplifying 8z + 17 = 5z + 35 Reorder the terms: 17 + 8z = 5z + 35 Reorder the terms: 17 + 8z = 35 + 5z Solving 17 + 8z = 35 + 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 + 8z + -5z = 35 + 5z + -5z Combine like terms: 8z + -5z = 3z 17 + 3z = 35 + 5z + -5z Combine like terms: 5z + -5z = 0 17 + 3z = 35 + 0 17 + 3z = 35 Add '-17' to each side of the equation. 17 + -17 + 3z = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 3z = 35 + -17 3z = 35 + -17 Combine like terms: 35 + -17 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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