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Simplifying 5z + 17 + -1z = 10 + 3z + 8 Reorder the terms: 17 + 5z + -1z = 10 + 3z + 8 Combine like terms: 5z + -1z = 4z 17 + 4z = 10 + 3z + 8 Reorder the terms: 17 + 4z = 10 + 8 + 3z Combine like terms: 10 + 8 = 18 17 + 4z = 18 + 3z Solving 17 + 4z = 18 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 17 + 4z + -3z = 18 + 3z + -3z Combine like terms: 4z + -3z = 1z 17 + 1z = 18 + 3z + -3z Combine like terms: 3z + -3z = 0 17 + 1z = 18 + 0 17 + 1z = 18 Add '-17' to each side of the equation. 17 + -17 + 1z = 18 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 18 + -17 1z = 18 + -17 Combine like terms: 18 + -17 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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