Answer :

GinnyAnswer
Alright students, let's solve the equation step by step:

1. Combine like terms on both sides of the equation:

The original equation given is:
[tex]\[ 2n + 9n + 10 = 60n - n \][/tex]

On the left side, we can combine [tex]\(2n\)[/tex] and [tex]\(9n\)[/tex]:
[tex]\[ 2n + 9n = 11n \][/tex]
So the equation becomes:
[tex]\[ 11n + 10 = 60n - n \][/tex]

On the right side, we can combine [tex]\(60n\)[/tex] and [tex]\(-n\)[/tex]:
[tex]\[ 60n - n = 59n \][/tex]
So the equation now is:
[tex]\[ 11n + 10 = 59n \][/tex]

2. Isolate the variable [tex]\(n\)[/tex]:

To isolate [tex]\(n\)[/tex] on one side of the equation, we'll subtract [tex]\(11n\)[/tex] from both sides:
[tex]\[ 11n + 10 - 11n = 59n - 11n \][/tex]
Which simplifies to:
[tex]\[ 10 = 48n \][/tex]

3. Solve for [tex]\(n\)[/tex]:

Now, to solve for [tex]\(n\)[/tex], we divide both sides by 48:
[tex]\[ n = \frac{10}{48} \][/tex]

Simplifying the fraction:
[tex]\[ n = \frac{5}{24} \][/tex]

So, the solution to the equation [tex]\(2n + 9n + 10 = 60n - n\)[/tex] is:
[tex]\[ n = \frac{5}{24} \][/tex]

Let’s review the steps:
- Combined like terms on both sides.
- Isolated the variable [tex]\(n\)[/tex].
- Solved for [tex]\(n\)[/tex] by simplifying the resulting fraction.

The final solution is [tex]\( n = \frac{5}{24} \)[/tex].

Answer:

50/11

Step-by-step explanation:

Add like terms, in this case 2n and 9n, which adds up to 11n. now we have 11n+10=60. Subtract ten from the left side of the equation to eliminate it, but we also have to subtract it from the right side of the equation to balance it out. so 60-10=50, and the new equation is 11n=50. now divide 50 by 11 to get n, so the answer should be 50/11.