Question

What is the simplified Expression of -2/3(12c-9)+14c

Answer 1

6(c + 1)

Explanation:

Given:
`$ - (2)/(3) (\ 12c - 9 )\ + 14c $`.

Distributing
`$ - (2)/(3)$` over
`$ 12c - 9 $` we get:

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

On simplifying we get:
`$ -2(4c) + 2(3) + 14c $`

`$ \implies -8c + 6 + 14c = 6c + 6 = 6(c + 1) $`

Therefore the answer is
`$ 6(c + 1) $`.

Answer 2

=6(1 + c)

Explanation:

Given that:

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

By simplifying:

Negative sign before bracket will alter the inner signs

=-24c/3 + 18/3 +14c

= -8c + 6 + 14c

= 6 + 6c

By taking 6 common:

=6(1 + c)

I hope it will help you!