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

1 Answer
May 20, 2018

Answer:

#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#