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Simplifying 9z + 9 + -3z = 45 + -3z Reorder the terms: 9 + 9z + -3z = 45 + -3z Combine like terms: 9z + -3z = 6z 9 + 6z = 45 + -3z Solving 9 + 6z = 45 + -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 + 6z + 3z = 45 + -3z + 3z Combine like terms: 6z + 3z = 9z 9 + 9z = 45 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + 9z = 45 + 0 9 + 9z = 45 Add '-9' to each side of the equation. 9 + -9 + 9z = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 9z = 45 + -9 9z = 45 + -9 Combine like terms: 45 + -9 = 36 9z = 36 Divide each side by '9'. z = 4 Simplifying z = 4
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