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Simplifying 6 + 22 + -2 = 9z + 16 + -52 Combine like terms: 6 + 22 = 28 28 + -2 = 9z + 16 + -52 Combine like terms: 28 + -2 = 26 26 = 9z + 16 + -52 Reorder the terms: 26 = 16 + -52 + 9z Combine like terms: 16 + -52 = -36 26 = -36 + 9z Solving 26 = -36 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 26 + -9z = -36 + 9z + -9z Combine like terms: 9z + -9z = 0 26 + -9z = -36 + 0 26 + -9z = -36 Add '-26' to each side of the equation. 26 + -26 + -9z = -36 + -26 Combine like terms: 26 + -26 = 0 0 + -9z = -36 + -26 -9z = -36 + -26 Combine like terms: -36 + -26 = -62 -9z = -62 Divide each side by '-9'. z = 6.888888889 Simplifying z = 6.888888889
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