# How do you simplify -8 + 5(g + 2) - 2?

May 20, 2018

$5 g$

#### Explanation:

PEMDAS

• P: Parenthesis
• E: Exponents
• M: Multiplication
• D: Division
• S: Subtraction

Above is the order of operations to follow to simplify the expression

$- 8 + 5 \left(g + 2\right) - 2$

First, deal with anything involving parenthesis

As shown, the $5$ is being multiplied throughout the set of parenthesis, so distribute the $5$ to each term within the parenthesis

$5 \left(g + 2\right)$

$5 \times g = 5 g$
$5 \times 2 = 10$

$5 \left(g + 2\right) = 5 g + 10$

The expression now looks like:

$- 8 + 5 g + 10 - 2$

There are no exponents, multiplication of numbers ($5 g$ is a number and a variable being multiplied, it cannot be simplified further), or division in the expression

So the next step is Addition

$\ast - 8 \ast + 5 g \ast + 10 \ast - 2$

$- 8 + 10 = 2$

The expression now looks like:

$5 g + 2 - 2$

And the final operation is Subtraction

$5 g + \ast 2 - 2 \ast$

$2 - 2 = 0$

The simplified expression is:

$5 g$