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Simplifying 9z + 1 + -2z = 9 + 6z + 7 Reorder the terms: 1 + 9z + -2z = 9 + 6z + 7 Combine like terms: 9z + -2z = 7z 1 + 7z = 9 + 6z + 7 Reorder the terms: 1 + 7z = 9 + 7 + 6z Combine like terms: 9 + 7 = 16 1 + 7z = 16 + 6z Solving 1 + 7z = 16 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 7z + -6z = 16 + 6z + -6z Combine like terms: 7z + -6z = 1z 1 + 1z = 16 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + 1z = 16 + 0 1 + 1z = 16 Add '-1' to each side of the equation. 1 + -1 + 1z = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 16 + -1 1z = 16 + -1 Combine like terms: 16 + -1 = 15 1z = 15 Divide each side by '1'. z = 15 Simplifying z = 15
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