# How do you simplify (-105 dividedBy 35+6) (9) ?

Jul 10, 2015

(-105 dividedBy 35+6)(9) $= 27$

#### Explanation:

Rewriting using standard symbols:
$\textcolor{w h i t e}{\text{XXXX}}$$\left(- 105 \div 35 + 6\right) \left(9\right)$

Everything inside the parentheses is done first with parentheses evaluated left to right
So $\left(- 105 \div 35 + 6\right)$ is evaluated first

$\textcolor{w h i t e}{\text{XXXX}}$Within the parentheses multiplication and division is done before addition and subtraction
$\textcolor{w h i t e}{\text{XXXX}}$So $- 105 \div 35$ is done first
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$- 105 \div 35 = - 3$
$\textcolor{w h i t e}{\text{XXXX}}$$\left(- 105 \div 35 + 6\right)$ therefore becomes $\left(- 3 + 6\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$- 3 + 6 = 3$
$\textcolor{w h i t e}{\text{XXXX}}$$\left(- 105 \div 35 + 6\right)$ becomes $\left(- 3 + 6\right)$ becomes $\left(3\right)$ or just $3$

Moving to the second set of parentheses:
we have nothing to evaluate except $\left(9\right) = 9$

We are left with an implied multiplication
$\textcolor{w h i t e}{\text{XXXX}}$$3 \times 9 = 27$