# How do you solve -4.2n-6.5=-14.06?

Mar 5, 2018

$n = 1.8$

#### Explanation:

Solve:

$- 4.2 n - 6.5 = - 14.06$

Add $6.5$ to both sides.

$- 4.2 n - 6.5 + 6.5 = - 14.06 + 6.5$

Simplify.

$- 4.2 n - 0 = - 7.56$

$- 4.2 n = - 7.56$

Divide both sides by $- 4.2$.

$\frac{{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4.2}}}}^{1} n}{{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4.2}}}}^{1}} = \frac{- 7.56}{- 4.2}$

Simplify.

$n = \frac{- 7.56}{- 4.2}$

$n = 1.8$

Mar 5, 2018

See a solution process below:

#### Explanation:

First, add $\textcolor{red}{6.5}$ to each side of the equation to isolate the $n$ term while keeping the equation balanced:

$- 4.2 n - 6.5 + \textcolor{red}{6.5} = - 14.06 + \textcolor{red}{6.5}$

$- 4.2 n - 0 = - 7.56$

$- 4.2 n = - 7.56$

Now, divide each side of the equation by $\textcolor{red}{- 4.2}$ to solve for $n$ while keeping the equation balanced:

$\frac{- 4.2 n}{\textcolor{red}{- 4.2}} = \frac{- 7.56}{\textcolor{red}{- 4.2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4.2}}} n}{\cancel{\textcolor{red}{- 4.2}}} = 1.8$

$n = 1.8$