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 $a=\frac{2}{3}$, $b=12c$, and $c=-9$:

$\frac{2}{3} (12c-9)+14c$

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

$8c-6 +14c$

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 $\frac{2}{3} (12c-9)+14c$ is $22c-6$.