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Simplifying 8z + -17 = 5z + 37 + 17 + -4 Reorder the terms: -17 + 8z = 5z + 37 + 17 + -4 Reorder the terms: -17 + 8z = 37 + 17 + -4 + 5z Combine like terms: 37 + 17 = 54 -17 + 8z = 54 + -4 + 5z Combine like terms: 54 + -4 = 50 -17 + 8z = 50 + 5z Solving -17 + 8z = 50 + 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 = 50 + 5z + -5z Combine like terms: 8z + -5z = 3z -17 + 3z = 50 + 5z + -5z Combine like terms: 5z + -5z = 0 -17 + 3z = 50 + 0 -17 + 3z = 50 Add '17' to each side of the equation. -17 + 17 + 3z = 50 + 17 Combine like terms: -17 + 17 = 0 0 + 3z = 50 + 17 3z = 50 + 17 Combine like terms: 50 + 17 = 67 3z = 67 Divide each side by '3'. z = 22.33333333 Simplifying z = 22.33333333
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