Question

Simplify the expression

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

Answer 1

2/3(12c-9)+14c
Simplify
2/3•3(4c-3)+14c
=2(4c-3)+14c
=8c-6+14c
Combine
=22c-6
=2(11c-3)

Answer 2

Remember that to simplify an expression with multiple operations, we need to deal with the parenthesis first. To do it, we are going to apply the distributive property:
`a(b+c)=ab+ac`; in other words, we first distribute (multiply)
`a` to
`b`, and then we distribute (multiply)
`a` to
`c`.

Let's apply the property to our expression with
`a=(2)/(3)`,
`b=12c`, and
`c=-9`:

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

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

`8c-6 +14c`

Now, we are going to group like terms; like terms are terms whose variables and exponents are the same, in our case, the terms with the variable
`c`

`8c-6 +14c`

`8c+14c-6`

Now we just need to simplify our like terms:

`22c-6`

We can conclude that the simplified form of the expression
`(2)/(3) (12c-9)+14c` is
`22c-6`.