# How do you solve -16d+4=d?

Dec 22, 2016

$d = \frac{4}{17}$

#### Explanation:

The first step to solving this equation is to do the necessary mathematics to isolate the $d$ terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$\textcolor{red}{16 d} - 16 d + 4 = \textcolor{red}{16 d} + d$

$\left(\textcolor{red}{16 d} - 16 d\right) + 4 = \textcolor{red}{16 d} + d$

$0 + 4 = 16 d + d$

$4 = 16 d + d$

Next, we can combine like terms:
Hint: remember ($\textcolor{g r e e n}{k = 1 k}$)

$4 = \left(16 + 1\right) d$

$4 = 17 d$

Now, we can solve for $d$ while keeping the equation balanced:

$\frac{4}{\textcolor{red}{17}} = \frac{17 d}{\textcolor{red}{17}}$

$\frac{4}{17} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{17}}} d}{\textcolor{red}{\cancel{\textcolor{b l a c k}{17}}}}$

$\frac{4}{17} = d$ or $d = \frac{4}{17}$