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Simplifying 8z + -22 = 9z + 11 + -6 Reorder the terms: -22 + 8z = 9z + 11 + -6 Reorder the terms: -22 + 8z = 11 + -6 + 9z Combine like terms: 11 + -6 = 5 -22 + 8z = 5 + 9z Solving -22 + 8z = 5 + 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. -22 + 8z + -9z = 5 + 9z + -9z Combine like terms: 8z + -9z = -1z -22 + -1z = 5 + 9z + -9z Combine like terms: 9z + -9z = 0 -22 + -1z = 5 + 0 -22 + -1z = 5 Add '22' to each side of the equation. -22 + 22 + -1z = 5 + 22 Combine like terms: -22 + 22 = 0 0 + -1z = 5 + 22 -1z = 5 + 22 Combine like terms: 5 + 22 = 27 -1z = 27 Divide each side by '-1'. z = -27 Simplifying z = -27
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