Question

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

Answer 1

Greetings!

Simplify the Expression.

`=(-2)/(3)(12c-9)+14c`

Distribute the Parenthesis.
How? Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.

`=(-2)/(3)*12c-(-2)/(3)*9+14c`


`=(-2)/(3)*(12)/(1)c-(-2)/(3)*(9)/(1)+14c`



`=(-24)/(3)c-(-18)/(3)+14c`

Combine Like Terms.

`=(-24)/(3)c+(14)/(1)c-(-18)/(3)`


`=(18)/(3)c-(-18)/(3)`

Reduce to Lowest Terms.

`=6c-6`

The Answer Is:

`\left[\begin{array}{ccc}=6c-6\end{array}\right]`

Hope this helps.
-Benjamin