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Simplifying 3(8 + -1z) + -9 = 85 + -17z (8 * 3 + -1z * 3) + -9 = 85 + -17z (24 + -3z) + -9 = 85 + -17z Reorder the terms: 24 + -9 + -3z = 85 + -17z Combine like terms: 24 + -9 = 15 15 + -3z = 85 + -17z Solving 15 + -3z = 85 + -17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17z' to each side of the equation. 15 + -3z + 17z = 85 + -17z + 17z Combine like terms: -3z + 17z = 14z 15 + 14z = 85 + -17z + 17z Combine like terms: -17z + 17z = 0 15 + 14z = 85 + 0 15 + 14z = 85 Add '-15' to each side of the equation. 15 + -15 + 14z = 85 + -15 Combine like terms: 15 + -15 = 0 0 + 14z = 85 + -15 14z = 85 + -15 Combine like terms: 85 + -15 = 70 14z = 70 Divide each side by '14'. z = 5 Simplifying z = 5
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