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Simplifying 17 = -8z + 24 + 9z Reorder the terms: 17 = 24 + -8z + 9z Combine like terms: -8z + 9z = 1z 17 = 24 + 1z Solving 17 = 24 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 17 + -1z = 24 + 1z + -1z Combine like terms: 1z + -1z = 0 17 + -1z = 24 + 0 17 + -1z = 24 Add '-17' to each side of the equation. 17 + -17 + -1z = 24 + -17 Combine like terms: 17 + -17 = 0 0 + -1z = 24 + -17 -1z = 24 + -17 Combine like terms: 24 + -17 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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