how do you simplify -8(4r+10)+(5r+8)

Question

how do you simplify -8(4r+10)+(5r+8

Answer 1

Hi, Julie!

 

The first step for simplifying -8(4r+10) + (5r+8) is to distribute the -8 to 4r+10, which gives you -8*4r + -8*10, which becomes -32r-80.

 

Since there is no number outside the second set of parenthesis, you can drop the parenthesis around the 5r+8.  This leaves you with the following:

-8(4r+10) + (5r+8)

= -32r - 80 + 5r + 8

= -32r + 5r - 80 + 8  <--I just changed the order so that "like terms" are grouped together.

= -27r        - 72    <-- Combine like terms

 

So your answer is -27r - 72.

Answer 2

Hi Julie!

 

First you want to multiply it out using the distributive property, which gives you:

 

-32r - 80 + 5r + 8

 

Then combine like terms to simplify:

 

-27r -72

 

You can simplify it even more by dividing both terms by the common factor of 9, so you get:

 

-3r - 8

 

and that's it! hope this helped :-) but if not, ask another question in the "comments" thread!

 

Matt

Answer 3

first distribute the multiplier -8 for each term inside the parentheses.

then you can combine like terms

then factor if possible

 

-8(4r + 10) + (5r + 8)

 

-32r - 80 + 5r + 8

 

-27r - 72

 

-3(9r + 24)