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Simplifying 9 + 12z + -2 = 7z + 17 + -5z Reorder the terms: 9 + -2 + 12z = 7z + 17 + -5z Combine like terms: 9 + -2 = 7 7 + 12z = 7z + 17 + -5z Reorder the terms: 7 + 12z = 17 + 7z + -5z Combine like terms: 7z + -5z = 2z 7 + 12z = 17 + 2z Solving 7 + 12z = 17 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7 + 12z + -2z = 17 + 2z + -2z Combine like terms: 12z + -2z = 10z 7 + 10z = 17 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 10z = 17 + 0 7 + 10z = 17 Add '-7' to each side of the equation. 7 + -7 + 10z = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 10z = 17 + -7 10z = 17 + -7 Combine like terms: 17 + -7 = 10 10z = 10 Divide each side by '10'. z = 1 Simplifying z = 1
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