Question

Simplify the expression -2/3(12c - 9) + 14c

Answer 1

Greetings!

Simplify the Expression.
$=\frac{-2}{3}(12c-9)+14c$

Distribute the Parenthesis.
How? Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.
$=\frac{-2}{3}*12c-\frac{-2}{3}*9+14c$

$=\frac{-2}{3}*\frac{12}{1}c-\frac{-2}{3}*\frac{9}{1}+14c$


$=\frac{-24}{3}c-\frac{-18}{3}+14c$

Combine Like Terms.
$=\frac{-24}{3}c+\frac{14}{1}c-\frac{-18}{3}$

$=\frac{18}{3}c-\frac{-18}{3}$

Reduce to Lowest Terms.
$=6c-6$

The Answer Is:
$\left[\begin{array}{ccc}=6c-6\end{array}\right]$

Hope this helps.
-Benjamin