How do you simplify 9(a+1.4b)+8(b-16a)?

Mar 5, 2017

See the entire solution process below:

Explanation:

First, expand the terms within parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis. Pay special attention to the signs of each individual term:

$\textcolor{red}{9} \left(a + 1.4 b\right) + \textcolor{b l u e}{8} \left(b - 16 a\right) \to$

$\left(\textcolor{red}{9} \times a\right) + \left(\textcolor{red}{9} \times 1.4 b\right) + \left(\textcolor{b l u e}{8} \times b\right) - \left(\textcolor{b l u e}{8} \times 16 a\right) \to$

$9 a + 12.6 b + 8 b - 128 a$

Next, group like terms:

$9 a - 128 a + 12.6 b + 8 b$

Now, combine like terms:

$\left(9 - 128\right) a + \left(12.6 + 8\right) b$

$- 119 a + 20.6 b$

or

$20.6 b - 119 a$