Solve for $$ v $$ $$ 2(2 v-7)=22 $$ Simplify your answer as much as possible.

Question

UpStudy AI · Accepted Answer

To solve the equation $$ 2(2v - 7) = 22 $$ for $$ v $$, follow these steps:

1. **Distribute the 2**:
   $$
   2 \times 2v - 2 \times 7 = 22 \
   4v - 14 = 22
   $$

2. **Add 14 to both sides** to isolate the term with $$ v $$:
   $$
   4v - 14 + 14 = 22 + 14 \
   4v = 36
   $$

3. **Divide both sides by 4** to solve for $$ v $$:
   $$
   \frac{4v}{4} = \frac{36}{4} \
   v = 9
   $$

**Answer:** $$ v = 9 $$
$$ v = 9 $$

Solve for \( v \) \[ 2(2 v-7)=22 \] Simplify your answer as much as possible.