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Simplifying 7z + 7 = 9 + -6z Reorder the terms: 7 + 7z = 9 + -6z Solving 7 + 7z = 9 + -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. 7 + 7z + 6z = 9 + -6z + 6z Combine like terms: 7z + 6z = 13z 7 + 13z = 9 + -6z + 6z Combine like terms: -6z + 6z = 0 7 + 13z = 9 + 0 7 + 13z = 9 Add '-7' to each side of the equation. 7 + -7 + 13z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 13z = 9 + -7 13z = 9 + -7 Combine like terms: 9 + -7 = 2 13z = 2 Divide each side by '13'. z = 0.1538461538 Simplifying z = 0.1538461538
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