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Simplifying 8z = 4(z + 1) Reorder the terms: 8z = 4(1 + z) 8z = (1 * 4 + z * 4) 8z = (4 + 4z) Solving 8z = 4 + 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. 8z + -4z = 4 + 4z + -4z Combine like terms: 8z + -4z = 4z 4z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 4z = 4 + 0 4z = 4 Divide each side by '4'. z = 1 Simplifying z = 1
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