Simplify 20 - (2 * 4f) + (2 * 9) + (7 * 2f) - (7 * 6) + 11?

Dec 18, 2016

$6 f + 7$

Explanation:

First, expand all the terms within parenthesis paying close attention to the signs both inside and outside the parenthesis:

$20 - \left(2 \cdot 4 f\right) + \left(2 \cdot 9\right) + \left(7 \cdot 2 f\right) - \left(7 \cdot 6\right) + 11$

20 - 8f + 18 + 14f - 41 + 11#

Next we can group like terms:

$- 8 f + 14 f + 20 + 18 - 42 + 11$

Now we can combine like terms:

$\left(- 8 + 14\right) f + 7$

$6 f + 7$