Answer:
n = 7
Step-by-step explanation:
5(n+2)=3/5(5+10n)
Alright, remember PEMDAS (Parenthesis Exponent Multiplication Division Addition Subtraction).
What I do first is turn the fraction into a decimal, which is just numerator x denominator, aka 3 divided by 5, and that gives you 0.6, which you can put into the equation.
5(n+2)=0.6(5+10n)
Parenthesis is first, so you'll multiply the number before the parenthesis by each number and/or letter in the parenthesis. Do this for both sides.
5(n) + 5(2) = .6(5) + .6(10n)
5n + 10 = 3 + 6n
Next, you want to get just a number on one side and the letter on the other side. Subtract 5n from both sides.
(5n-5n) + 10 = 3 + (6n-5n)
10 = 3 + 1n <em>which may also be written as just n</em>
Do the same for 3.
(10-3) = (3-3) + n
7 = n
Normally if you had like 7 = 14n you'd divide both sides by 14 and get n = 7, but since it was 1n your answer is n = 7.
Hope this helped!! Sorry it was long!
