Question

Distributive Property. Show work below.
1/5(5r+10) - 3(r-2)

Answer 1

The answer is -2r + 8.

Explanation:

1) Simplify 1/5(5r + 10) to 5r + 10/ 5.

`(5r + 10)/(5) - 3(r - 2)`

2) Factor out the common term 5.

`(5(r + 2))/(5) - 3(r - 2)`

3) Cancle 5.

`r + 2 - 3(r - 2)`

4) Expand by distributing terms.

`r + 2 - (3r - 6)`

5) Remove parentheses.

`r + 2 - 3r + 6`

6) Collect like terms.

`(r - 3r) + (2 + 6)`

7) Simplify.

`- 2r + 8`

Thus, the answer for this equation is -2r + 8.