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Simplifying 9z + 6 + -3z = 69 + -3z Reorder the terms: 6 + 9z + -3z = 69 + -3z Combine like terms: 9z + -3z = 6z 6 + 6z = 69 + -3z Solving 6 + 6z = 69 + -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. 6 + 6z + 3z = 69 + -3z + 3z Combine like terms: 6z + 3z = 9z 6 + 9z = 69 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + 9z = 69 + 0 6 + 9z = 69 Add '-6' to each side of the equation. 6 + -6 + 9z = 69 + -6 Combine like terms: 6 + -6 = 0 0 + 9z = 69 + -6 9z = 69 + -6 Combine like terms: 69 + -6 = 63 9z = 63 Divide each side by '9'. z = 7 Simplifying z = 7
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