# How do you simplify 5(4+k)+3(2k-7)?

May 26, 2018

$5 \left(4 + k\right) + 3 \left(2 k - 7\right) = 11 k - 1$

#### Explanation:

What we need to remember here, is that the factor outside the parenthesis should be multiplied with each of the factors inside the parenthesis.

If you for instance have $a \left(b + c\right)$, that will be $\left(a b + a c\right)$.

If we use that here, we get:

$5 \left(4 + k\right) + 3 \left(2 k - 7\right)$
$= \left(5 \cdot 4 + 5 k\right) + \left(3 \cdot 2 k - 3 \cdot 7\right)$
$= 20 + 5 k + 6 k - 21 = 11 k - 1$