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Simplifying 8 + 9z + -5 = 9z + 21 + -6z Reorder the terms: 8 + -5 + 9z = 9z + 21 + -6z Combine like terms: 8 + -5 = 3 3 + 9z = 9z + 21 + -6z Reorder the terms: 3 + 9z = 21 + 9z + -6z Combine like terms: 9z + -6z = 3z 3 + 9z = 21 + 3z Solving 3 + 9z = 21 + 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 + 9z + -3z = 21 + 3z + -3z Combine like terms: 9z + -3z = 6z 3 + 6z = 21 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 6z = 21 + 0 3 + 6z = 21 Add '-3' to each side of the equation. 3 + -3 + 6z = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 21 + -3 6z = 21 + -3 Combine like terms: 21 + -3 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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