# How do you solve and check your solution given n-4.72=7.52?

May 2, 2017

See the solution and validation process below:

#### Explanation:

First, add $\textcolor{red}{4.72}$ to each side of the equation to solve for $n$:

$n - 4.72 + \textcolor{red}{4.72} = 7.52 + \textcolor{red}{4.72}$

$n - 0 = 12.24$

$n = 12.24$

To check the solution substitute $\textcolor{red}{12.24}$ for $\textcolor{red}{n}$ in the original equation, calculate the left side of the equation and ensure it equals $7.52$:

$\textcolor{red}{n} - 4.72 = 7.52$ becomes:

$\textcolor{red}{12.24} - 4.72 = 7.52$

$7.52 = 7.52$

Because both sides of the equation are equal the solution checks out and is validated.