Define and give a visual example of the Commutative Property. 2. Explain the process ( Every Step ) that you would use to simplify the following expression. 7 ( c + 3 ) + -4 (3c -2 )

Problem 1

Imagine a rectangle that is 2 by 3. You would have an area of 2*3 = 6 and it is the same as saying 3*2 = 6. The order of multiplication doesn't matter. Visually, we can rotate the rectangle to have the shorter side be horizontal and then make it vertical, and the area is still the same. All we're doing is shifting things around.

Another example is say you had a marching band with 10 rows and 2 columns. That gives 10*2 = 20 people total. Then we could easily form the same number of people into 2 rows and 10 columns. The order of rows and columns doesn't matter because we get the same total number as a result.

Problem 2

7(c+3) + -4(3c-2) is the original expression

7(c+3) - 4(3c - 2) adding a negative is the same as subtracting

7*c + 7*3 - 4*3c - 4*(-2) distributive property

7c + 21 - 12c + 8 multiply

(7c-12c) + (21+8) group like terms

-5c + 29 ... combine like terms

The original expression simplifies to -5c+29

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude