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: \[ k = 4 \]