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Simplifying 9 + 13z + -6 = 6z + 21 + -22 Reorder the terms: 9 + -6 + 13z = 6z + 21 + -22 Combine like terms: 9 + -6 = 3 3 + 13z = 6z + 21 + -22 Reorder the terms: 3 + 13z = 21 + -22 + 6z Combine like terms: 21 + -22 = -1 3 + 13z = -1 + 6z Solving 3 + 13z = -1 + 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. 3 + 13z + -6z = -1 + 6z + -6z Combine like terms: 13z + -6z = 7z 3 + 7z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + 7z = -1 + 0 3 + 7z = -1 Add '-3' to each side of the equation. 3 + -3 + 7z = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = -1 + -3 7z = -1 + -3 Combine like terms: -1 + -3 = -4 7z = -4 Divide each side by '7'. z = -0.5714285714 Simplifying z = -0.5714285714
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