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Simplifying 9 = 7z + -13z + -22 Reorder the terms: 9 = -22 + 7z + -13z Combine like terms: 7z + -13z = -6z 9 = -22 + -6z Solving 9 = -22 + -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 + 6z = -22 + -6z + 6z Combine like terms: -6z + 6z = 0 9 + 6z = -22 + 0 9 + 6z = -22 Add '-9' to each side of the equation. 9 + -9 + 6z = -22 + -9 Combine like terms: 9 + -9 = 0 0 + 6z = -22 + -9 6z = -22 + -9 Combine like terms: -22 + -9 = -31 6z = -31 Divide each side by '6'. z = -5.166666667 Simplifying z = -5.166666667
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