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Simplifying -5z + 33 = 6z Reorder the terms: 33 + -5z = 6z Solving 33 + -5z = 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. 33 + -5z + -6z = 6z + -6z Combine like terms: -5z + -6z = -11z 33 + -11z = 6z + -6z Combine like terms: 6z + -6z = 0 33 + -11z = 0 Add '-33' to each side of the equation. 33 + -33 + -11z = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -11z = 0 + -33 -11z = 0 + -33 Combine like terms: 0 + -33 = -33 -11z = -33 Divide each side by '-11'. z = 3 Simplifying z = 3
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