Question

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

Answer 1

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

$2(\frac{3}{5} n +3 ) + -1 (\frac{2}{3}n-1) \\ \\ 2(\frac{3}{5} n+3)-1(\frac{2}{3}n) + -1(-1 ) \\ \\ 2(\frac{3}{5}n +3) + \frac{-2}{3} +1$

We can distribute in the normal method now!

$2(\frac{3}{5} n) +2(3)+ \frac{-2}{3}n+` \\ \\ \\ 2(\frac{3}{5} n) = \frac{6}{5}n \\ \\ \\ 2(3) = 6 \\ \\ \\ = \frac{6}{5}n + 6 + \frac{-2}{3} + 1$

Next, combine your like values (like terms)

$\frac{6}{5} n +6 + \frac{-2}{3}n +1 \\ \\ \\ \\ \frac{6}{5}n + \frac{-2}{3}n + (6 +1)$

Solving for our result

$\frac{6}{5}n + \frac{-2}{3} n = \frac{8}{15} \\ \\ \\ \\ \\ 6 + 1 = 7$

Therefore your answer would most likely be: $\frac{8}{15} + 7$

Good luck on your assignment and enjoy your day!

~$LoveYourselfFirst:)$

Answer 2

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! :)