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Anit [1.1K]
3 years ago
11

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

Mathematics
1 answer:
inessss [21]3 years ago
3 0

Answer:

The answer is -2r + 8.

Step-by-step explanation:

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

\frac{5r + 10}{5}  - 3(r - 2)

2) Factor out the common term 5.

\frac{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

<em><u>Thus</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>for</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>-2r</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>8</u></em>.

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