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Simplifying 4(z + 2) = 2n + 40 Reorder the terms: 4(2 + z) = 2n + 40 (2 * 4 + z * 4) = 2n + 40 (8 + 4z) = 2n + 40 Reorder the terms: 8 + 4z = 40 + 2n Solving 8 + 4z = 40 + 2n Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4z = 40 + -8 + 2n Combine like terms: 8 + -8 = 0 0 + 4z = 40 + -8 + 2n 4z = 40 + -8 + 2n Combine like terms: 40 + -8 = 32 4z = 32 + 2n Divide each side by '4'. z = 8 + 0.5n Simplifying z = 8 + 0.5n
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