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Simplifying 8z + 8 + -5z = 24 + -5z Reorder the terms: 8 + 8z + -5z = 24 + -5z Combine like terms: 8z + -5z = 3z 8 + 3z = 24 + -5z Solving 8 + 3z = 24 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 8 + 3z + 5z = 24 + -5z + 5z Combine like terms: 3z + 5z = 8z 8 + 8z = 24 + -5z + 5z Combine like terms: -5z + 5z = 0 8 + 8z = 24 + 0 8 + 8z = 24 Add '-8' to each side of the equation. 8 + -8 + 8z = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 8z = 24 + -8 8z = 24 + -8 Combine like terms: 24 + -8 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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