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Simplifying 1 + 7z = 8z + -9 Reorder the terms: 1 + 7z = -9 + 8z Solving 1 + 7z = -9 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 1 + 7z + -8z = -9 + 8z + -8z Combine like terms: 7z + -8z = -1z 1 + -1z = -9 + 8z + -8z Combine like terms: 8z + -8z = 0 1 + -1z = -9 + 0 1 + -1z = -9 Add '-1' to each side of the equation. 1 + -1 + -1z = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = -9 + -1 -1z = -9 + -1 Combine like terms: -9 + -1 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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