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Simplifying -9 + 10z = 33 + 3z Solving -9 + 10z = 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. -9 + 10z + -3z = 33 + 3z + -3z Combine like terms: 10z + -3z = 7z -9 + 7z = 33 + 3z + -3z Combine like terms: 3z + -3z = 0 -9 + 7z = 33 + 0 -9 + 7z = 33 Add '9' to each side of the equation. -9 + 9 + 7z = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = 33 + 9 7z = 33 + 9 Combine like terms: 33 + 9 = 42 7z = 42 Divide each side by '7'. z = 6 Simplifying z = 6
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