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

Greetings!

Simplify the Expression.
[tex]=\frac{-2}{3}(12c-9)+14c[/tex]

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

[tex]=\frac{-2}{3}*\frac{12}{1}c-\frac{-2}{3}*\frac{9}{1}+14c[/tex]


[tex]=\frac{-24}{3}c-\frac{-18}{3}+14c[/tex]

Combine Like Terms.
[tex]=\frac{-24}{3}c+\frac{14}{1}c-\frac{-18}{3}[/tex]

[tex]=\frac{18}{3}c-\frac{-18}{3}[/tex]

Reduce to Lowest Terms.
[tex]=6c-6[/tex]

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

Hope this helps.
-Benjamin