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

Jul 5, 2016

k = 6

#### Explanation:

Multiply out the bracket on the right hand side.

$38 + 7 k = 8 k + 32$

Recall that we can do anything we like to the equation, as long as we do the same to both sides. Simplifying the equation immediately spits out the solution.

$38 + 7 k \textcolor{red}{- 32} \textcolor{red}{- 7 k} = 8 k + 32 \textcolor{red}{- 32} \textcolor{red}{- 7 k}$

$\textcolor{b l u e}{6} = \textcolor{b l u e}{k}$