Answer :

[tex]8=8v-4(v+8) \\\\ 8=8v-4v-32 \\\\ 8=4v-32 \\\\ 8+32=4v \\\\ 40=4v \\\\ \boxed{v=\frac{40}{4}=10} [/tex]
8 = 8v - 4 (v + 8)        :First, distribute the -4 to whatever is inside the                                                           parenthesis

8 = 8v - 4v - 32           :Now, combine like terms

8 = 8 - 32                    :Then, add the 32 over to the 8
+32         +32

(40 = 4v) ÷ 4               :Then, divide the entire equation by 4

10 = v

Your final answer is:

v = 10