Question

solve: 8v - 4(v + 8)=8

Explanation:

Step1: Expand the equation

First, expand $4(v + 8)$ using the distributive - property $a(b + c)=ab+ac$. So $4(v + 8)=4v+32$. The original equation $8v-4(v + 8)=8$ becomes $8v-(4v + 32)=8$, which simplifies to $8v-4v-32 = 8$.

Step2: Combine like - terms

Combine the $v$ terms on the left - hand side. $8v-4v=4v$, so the equation is $4v-32 = 8$.

Step3: Isolate the variable term

Add 32 to both sides of the equation. $4v-32 + 32=8 + 32$, which gives $4v=40$.

Step4: Solve for $v$

Divide both sides of the equation by 4. $\frac{4v}{4}=\frac{40}{4}$, so $v = 10$.

Answer:

$v = 10$