20 + 7k = 8 (k + 2)

Answer 1

To solve the equation \( 20 + 7k = 8(k + 2) \), follow these steps:

1. Distribute the \( 8 \) on the right side: \[ 20 + 7k = 8k + 16 \]

2. Next, get all the terms involving \( k \) on one side and the constant terms on the other. Subtract \( 7k \) from both sides: \[ 20 = 8k - 7k + 16 \] Simplifying this gives: \[ 20 = k + 16 \]

3. Now, subtract \( 16 \) from both sides to isolate \( k \): \[ 20 - 16 = k \] Thus, \[ k = 4 \]

So, the solution is \( k = 4 \).