How do you solve 38+7k=8 (k+4)

To begin, you need to simplify the right side of the equation by using the distributive property of multiplication.  To do this, you would multiply everything in the parentheses by 8.  Your equation now looks like 38 + 7k =8k+32.  You are trying to get the variable alone on one side of the equation, so you would subtract 7k from both sides of the equation.  Your equation now looks like 38=k+32.  To get the variable k alone, you need to subtract 32 from both sides.  Your equation now looks like k=6.

The final answer is k=6