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Simplifying 8z + 17 = 7z + 10 Reorder the terms: 17 + 8z = 7z + 10 Reorder the terms: 17 + 8z = 10 + 7z Solving 17 + 8z = 10 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 17 + 8z + -7z = 10 + 7z + -7z Combine like terms: 8z + -7z = 1z 17 + 1z = 10 + 7z + -7z Combine like terms: 7z + -7z = 0 17 + 1z = 10 + 0 17 + 1z = 10 Add '-17' to each side of the equation. 17 + -17 + 1z = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 1z = 10 + -17 1z = 10 + -17 Combine like terms: 10 + -17 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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