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Simplifying 8 + 2z + -1 = 9z + 17 + -5z Reorder the terms: 8 + -1 + 2z = 9z + 17 + -5z Combine like terms: 8 + -1 = 7 7 + 2z = 9z + 17 + -5z Reorder the terms: 7 + 2z = 17 + 9z + -5z Combine like terms: 9z + -5z = 4z 7 + 2z = 17 + 4z Solving 7 + 2z = 17 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 7 + 2z + -4z = 17 + 4z + -4z Combine like terms: 2z + -4z = -2z 7 + -2z = 17 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + -2z = 17 + 0 7 + -2z = 17 Add '-7' to each side of the equation. 7 + -7 + -2z = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = 17 + -7 -2z = 17 + -7 Combine like terms: 17 + -7 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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