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Simplifying 4(4z + 2) = 4z + 32 Reorder the terms: 4(2 + 4z) = 4z + 32 (2 * 4 + 4z * 4) = 4z + 32 (8 + 16z) = 4z + 32 Reorder the terms: 8 + 16z = 32 + 4z Solving 8 + 16z = 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 + 16z + -4z = 32 + 4z + -4z Combine like terms: 16z + -4z = 12z 8 + 12z = 32 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 12z = 32 + 0 8 + 12z = 32 Add '-8' to each side of the equation. 8 + -8 + 12z = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 12z = 32 + -8 12z = 32 + -8 Combine like terms: 32 + -8 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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