# How do you simplify 3(4a+9)-10(a-6)?

Jul 19, 2018

$2 a + 87$

#### Explanation:

$3 \left(4 a + 9\right) - 10 \left(a - 6\right)$

To simplify this, use the distributive property:

Following this image, we know that:
$\textcolor{b l u e}{3 \left(4 a + 9\right) = \left(3 \cdot 4 a\right) + \left(3 \cdot 9\right) = 12 a + 27}$
and
$\textcolor{b l u e}{- 10 \left(a - 6\right) = \left(- 10 \cdot a\right) + \left(- 10 \cdot - 6\right) = - 10 a + 60}$

Combine the two expressions together:
$12 a + 27 - 10 a + 60$

Color-code like terms:
$\textcolor{red}{12 a} \quad \textcolor{g r e e n}{+ \quad 27} \quad \textcolor{red}{- \quad 10 a} \quad \textcolor{g r e e n}{+ \quad 60}$

Combine like terms:
$2 a + 87$

Hope this helps!

Jul 19, 2018

$2 a + 87$

#### Explanation:

Let's distribute the $3$ and the $- 10$ to their respective terms. We now have

$12 a + 27 - 10 a + 60$

We can combine our $a$ terms to get $2 a$ and our constants to get $87$. We get

$2 a + 87$

Hope this helps!