# How do you solve 0.1p - 0.2p + 2 =-4.6?

Mar 7, 2017

See the entire solution process below:

#### Explanation:

First, subtract $\textcolor{red}{2}$ from each side of the equation to isolate the $p$ terms while keeping the equation balanced:

$0.1 p - 0.2 p + 2 - \textcolor{red}{2} = - 4.6 - \textcolor{red}{2}$

$0.1 p - 0.2 p + 0 = - 6.6$

$0.1 p - 0.2 p = - 6.6$

Next, combine like terms on the left side of the equation:

$\left(0.1 - 0.2\right) p = - 6.6$

$- 0.1 p = - 6.6$

Now, divide each side of the equation by $\textcolor{red}{- 0.1}$ to solve for $p$ while keeping the equation balanced:

$\frac{- 0.1 p}{\textcolor{red}{- 0.1}} = \frac{- 6.6}{\textcolor{red}{- 0.1}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 0.1}}} p}{\cancel{\textcolor{red}{- 0.1}}} = 66$

$p = 66$