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Simplifying 6 + 17z + -2 = 9z + 64 + -7z Reorder the terms: 6 + -2 + 17z = 9z + 64 + -7z Combine like terms: 6 + -2 = 4 4 + 17z = 9z + 64 + -7z Reorder the terms: 4 + 17z = 64 + 9z + -7z Combine like terms: 9z + -7z = 2z 4 + 17z = 64 + 2z Solving 4 + 17z = 64 + 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. 4 + 17z + -2z = 64 + 2z + -2z Combine like terms: 17z + -2z = 15z 4 + 15z = 64 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 15z = 64 + 0 4 + 15z = 64 Add '-4' to each side of the equation. 4 + -4 + 15z = 64 + -4 Combine like terms: 4 + -4 = 0 0 + 15z = 64 + -4 15z = 64 + -4 Combine like terms: 64 + -4 = 60 15z = 60 Divide each side by '15'. z = 4 Simplifying z = 4
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