Question

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

Answer 1

`5g`

Explanation:

PEMDAS

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

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

`-8+5(g+2)-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(g+2)`

`5xxg=5g`
`5xx2=10`

`5(g+2)=5g+10`

The expression now looks like:

`-8+5g+10-2`

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

So the next step is Addition

`**-8**+5g **+10**-2`

`-8+10=2`

The expression now looks like:

`5g+2-2`

And the final operation is Subtraction

`5g+**2-2**`

`2-2=0`

The simplified expression is:

`5g`