# What value of k satisfies the equation 6.3k−1.4k+3.5=52.5 ?

May 9, 2018

$k = \frac{56}{4.9} \approx 11.4286$

#### Explanation:

To start, like terms need to be combined to make this a one-step equation. That would look like this:

$6.3 k - 1.4 k + 3.5 = 52.5$
$6.3 k - 1.4 k = 56$
$4.9 k = 56$

And divide by 4.9:

$\frac{\textcolor{red}{\cancel{4.9}} k}{\textcolor{red}{\cancel{4.9}}} = \frac{56}{4.9}$

$k = \frac{56}{4.9}$

$k \approx 11.4286$