Question

2(3/5n +3) - (2/3n-1)

Answer 1

Hey there! :)

2(3/5n + 3) - (2/3n - 1)

Simplify.

(2 * 3/5n) + (2 * 3) - (2/3n -1)

Simplify.

6/5n + 6 - 2/3n + 1

Add like terms.

(6/5n - 2/3n) + (6 + 1)

Make the fractions have the same denominator by multiplying fraction 1 (6/5n) by 3/3 and fraction 2 (-2/3n) by 5/5.

6/5n * 3/3 = 18/15n

-2/3n * 5/5 = -10/15n

So, our new equation looks like this : (18/15n - 10/15n) + (6 + 1)

Simplify.

8/15n + 6 —> final answer.

Hope this helped! :)

Answer 2

Hey there!

In order to solve this equation we have to distribute the negative symbols

So the subtraction symbol in the center of the equation becomes a addition symbol but the 1 is a negative

`2((3)/(5) n +3 ) + -1 ((2)/(3)n-1) \\ \\ 2((3)/(5) n+3)-1((2)/(3)n) + -1(-1 ) \\ \\ 2((3)/(5)n +3) + (-2)/(3) +1`

We can distribute in the normal method now!

`2((3)/(5) n) +2(3)+ (-2)/(3)n+` \\ \\ \\ 2((3)/(5) n) = (6)/(5)n \\ \\ \\ 2(3) = 6 \\ \\ \\ = (6)/(5)n + 6 + (-2)/(3) + 1`

Next, combine your like values (like terms)

`(6)/(5) n +6 + (-2)/(3)n +1 \\ \\ \\ \\ (6)/(5)n + (-2)/(3)n + (6 +1)`

Solving for our result

`(6)/(5)n + (-2)/(3) n = (8)/(15) \\ \\ \\ \\ \\ 6 + 1 = 7`

Therefore your answer would most likely be:
`(8)/(15) + 7`

Good luck on your assignment and enjoy your day!

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`LoveYourselfFirst:)`