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Simplifying 9z + 6 + -4z = 33 + -4z Reorder the terms: 6 + 9z + -4z = 33 + -4z Combine like terms: 9z + -4z = 5z 6 + 5z = 33 + -4z Solving 6 + 5z = 33 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 6 + 5z + 4z = 33 + -4z + 4z Combine like terms: 5z + 4z = 9z 6 + 9z = 33 + -4z + 4z Combine like terms: -4z + 4z = 0 6 + 9z = 33 + 0 6 + 9z = 33 Add '-6' to each side of the equation. 6 + -6 + 9z = 33 + -6 Combine like terms: 6 + -6 = 0 0 + 9z = 33 + -6 9z = 33 + -6 Combine like terms: 33 + -6 = 27 9z = 27 Divide each side by '9'. z = 3 Simplifying z = 3
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