4) 40 + 4n = 4(5 - 4n)

Explanation:

Step1: Expand the right - hand side

Using the distributive property (a(b + c)=ab+ac), for (4(5 - 4n)), we have (4\times5-4\times4n=20 - 16n). So the equation becomes (40 + 4n=20-16n).

Step2: Move the terms with (n) to one side

Add (16n) to both sides of the equation: (40 + 4n+16n=20-16n + 16n). Simplifying gives (40+20n = 20).

Step3: Move the constant term to the other side

Subtract (40) from both sides: (40+20n-40=20 - 40). So (20n=-20).

Step4: Solve for (n)

Divide both sides by (20): (n=\frac{-20}{20}).

Answer:

(n=-1)