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Simplifying 9 + 8z + -6 = 9z + 38 + -6z Reorder the terms: 9 + -6 + 8z = 9z + 38 + -6z Combine like terms: 9 + -6 = 3 3 + 8z = 9z + 38 + -6z Reorder the terms: 3 + 8z = 38 + 9z + -6z Combine like terms: 9z + -6z = 3z 3 + 8z = 38 + 3z Solving 3 + 8z = 38 + 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 + 8z + -3z = 38 + 3z + -3z Combine like terms: 8z + -3z = 5z 3 + 5z = 38 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 5z = 38 + 0 3 + 5z = 38 Add '-3' to each side of the equation. 3 + -3 + 5z = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 38 + -3 5z = 38 + -3 Combine like terms: 38 + -3 = 35 5z = 35 Divide each side by '5'. z = 7 Simplifying z = 7
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