5. 9(n - 4) - 7n = 32 - 2(n + 8)

Explanation:

Step1: Expand the brackets

$$ \begin{align*} 9n-36 - 7n&=32-(2n + 16)\ 9n-36 - 7n&=32-2n - 16 \end{align*} $$

Step2: Simplify both sides

Left - hand side: (9n-7n-36=2n - 36) Right - hand side: (32-16-2n=16 - 2n) So the equation becomes (2n-36 = 16-2n)

Step3: Add (2n) to both sides

(2n+2n-36=16-2n + 2n) (4n-36=16)

Step4: Add (36) to both sides

(4n-36 + 36=16+36) (4n=52)

Step5: Divide both sides by (4)

(n=\frac{52}{4}=13)

Answer:

(n = 13)