Question

Use words and math to explain why these two expressions are equivalent.
3h + 2 - 6 + 5h and 2( 4h -2)

Answer 1

Answer:

here

Step-by-step explanation:

when given the first set, you combine like terms so you add 5h and 3h together and -6 and 2 are combined, so the first one is 8h -4. The second set you distribute 2 to 4h and -2 getting you 8h and -4 as well

Answer 2

Answer:

See explanation

Step-by-step explanation:

Let’s manipulate 3h+2-6+5h to show how it is equal to 2(4h-2)

Combine like-terms:

3h+2-6+5h = 8h-4

Then, factor out the greatest common factor (in this case it’s 2):

8h-4 = 2(4h-2)

If you want to verify how to above is true, just combine them again!