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Simplifying 8z + -22 = 9z + 33 + -6z Reorder the terms: -22 + 8z = 9z + 33 + -6z Reorder the terms: -22 + 8z = 33 + 9z + -6z Combine like terms: 9z + -6z = 3z -22 + 8z = 33 + 3z Solving -22 + 8z = 33 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -22 + 8z + -3z = 33 + 3z + -3z Combine like terms: 8z + -3z = 5z -22 + 5z = 33 + 3z + -3z Combine like terms: 3z + -3z = 0 -22 + 5z = 33 + 0 -22 + 5z = 33 Add '22' to each side of the equation. -22 + 22 + 5z = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 5z = 33 + 22 5z = 33 + 22 Combine like terms: 33 + 22 = 55 5z = 55 Divide each side by '5'. z = 11 Simplifying z = 11
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