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Simplifying 8z + 9 + -1z = 2 + 6z + 1 Reorder the terms: 9 + 8z + -1z = 2 + 6z + 1 Combine like terms: 8z + -1z = 7z 9 + 7z = 2 + 6z + 1 Reorder the terms: 9 + 7z = 2 + 1 + 6z Combine like terms: 2 + 1 = 3 9 + 7z = 3 + 6z Solving 9 + 7z = 3 + 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. 9 + 7z + -6z = 3 + 6z + -6z Combine like terms: 7z + -6z = 1z 9 + 1z = 3 + 6z + -6z Combine like terms: 6z + -6z = 0 9 + 1z = 3 + 0 9 + 1z = 3 Add '-9' to each side of the equation. 9 + -9 + 1z = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 3 + -9 1z = 3 + -9 Combine like terms: 3 + -9 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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