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