# How do you simplify 5(3.4k-7)+(3k+21)?

Jul 1, 2018

$20 k - 14$

#### Explanation:

$5 \left(3.4 k - 7\right) + \left(3 k + 21\right)$

To simplify this, use the distributive property:

Following this image, we know that:
$\textcolor{b l u e}{5 \left(3.4 k - 7\right) = \left(5 \cdot 3.4 k\right) + \left(5 \cdot - 7\right) = 17 k - 35}$

Put it back into the expression:
$17 k - 35 + 3 k + 21$

Combine like terms:
$20 k - 14$

Hope this helps!