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Simplifying 8 + 9z + -5 = 9z + 7 + -2z Reorder the terms: 8 + -5 + 9z = 9z + 7 + -2z Combine like terms: 8 + -5 = 3 3 + 9z = 9z + 7 + -2z Reorder the terms: 3 + 9z = 7 + 9z + -2z Combine like terms: 9z + -2z = 7z 3 + 9z = 7 + 7z Solving 3 + 9z = 7 + 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. 3 + 9z + -7z = 7 + 7z + -7z Combine like terms: 9z + -7z = 2z 3 + 2z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 3 + 2z = 7 + 0 3 + 2z = 7 Add '-3' to each side of the equation. 3 + -3 + 2z = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 7 + -3 2z = 7 + -3 Combine like terms: 7 + -3 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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