solve the equation 20 + 7k = 8(k + 2) first multiply each term in the parenthesis by 8

Answer 1

It seems there’s a small misunderstanding in your request. Based on the equation you provided:

$$20+7k=8(k+2)$$

The first step should be to distribute $8$ in the expression $8(k+2)$.

Let's do that:

1. Distributing $8$ gives: $$8(k+2)=8k+16$$

Now, rewrite the equation incorporating this distribution:

$$20+7k=8k+16$$

Now, let's isolate $k$:

2. Subtract $7k$ from both sides: $$20=8k-7k+16$$ $$20=k+16$$

3. Subtract $16$ from both sides: $$20-16=k$$ $$4=k$$

So, the solution to the equation is: $$k=4$$