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Simplifying 8z + 8 + -4z = 32 + -4z Reorder the terms: 8 + 8z + -4z = 32 + -4z Combine like terms: 8z + -4z = 4z 8 + 4z = 32 + -4z Solving 8 + 4z = 32 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 8 + 4z + 4z = 32 + -4z + 4z Combine like terms: 4z + 4z = 8z 8 + 8z = 32 + -4z + 4z Combine like terms: -4z + 4z = 0 8 + 8z = 32 + 0 8 + 8z = 32 Add '-8' to each side of the equation. 8 + -8 + 8z = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8z = 32 + -8 8z = 32 + -8 Combine like terms: 32 + -8 = 24 8z = 24 Divide each side by '8'. z = 3 Simplifying z = 3
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