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Simplifying z(4 + 8) = z * 4 + z * 3 Combine like terms: 4 + 8 = 12 z(12) = z * 4 + z * 3 Reorder the terms for easier multiplication: 12z = z * 4 + z * 3 Reorder the terms for easier multiplication: 12z = 4z + z * 3 Reorder the terms for easier multiplication: 12z = 4z + 3z Combine like terms: 4z + 3z = 7z 12z = 7z Solving 12z = 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 12z + -7z = 7z + -7z Combine like terms: 12z + -7z = 5z 5z = 7z + -7z Combine like terms: 7z + -7z = 0 5z = 0 Divide each side by '5'. z = 0 Simplifying z = 0
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