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Simplifying 2z + 3 + -9z = 3z + 33 Reorder the terms: 3 + 2z + -9z = 3z + 33 Combine like terms: 2z + -9z = -7z 3 + -7z = 3z + 33 Reorder the terms: 3 + -7z = 33 + 3z Solving 3 + -7z = 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. 3 + -7z + -3z = 33 + 3z + -3z Combine like terms: -7z + -3z = -10z 3 + -10z = 33 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + -10z = 33 + 0 3 + -10z = 33 Add '-3' to each side of the equation. 3 + -3 + -10z = 33 + -3 Combine like terms: 3 + -3 = 0 0 + -10z = 33 + -3 -10z = 33 + -3 Combine like terms: 33 + -3 = 30 -10z = 30 Divide each side by '-10'. z = -3 Simplifying z = -3
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