Question

What is the value of n in the equation below 9n-24=4n+6

Answer 1

Answer:

n = 6

Step-by-step explanation:

9n - 24 = 4n + 6              {Subtract 4n from both sides }

9n - 24 -4n = 6

       5n - 24 = 6               {Add 24 to both sides}  

               5n = 6 + 24

               5n = 30

                 n = 30/5

n = 6

Answer 2

Answer:

n=6

Step-by-step explanation:

Simplifying

9n + -24 = 4n + 6

Reorder the terms:

-24 + 9n = 4n + 6

Reorder the terms:

-24 + 9n = 6 + 4n

Solving

-24 + 9n = 6 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.

-24 + 9n + -4n = 6 + 4n + -4n

Combine like terms: 9n + -4n = 5n

-24 + 5n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0

-24 + 5n = 6 + 0

-24 + 5n = 6

Add '24' to each side of the equation.

-24 + 24 + 5n = 6 + 24

Combine like terms: -24 + 24 = 0

0 + 5n = 6 + 24

5n = 6 + 24

Combine like terms: 6 + 24 = 30

5n = 30

Divide each side by '5'.

n = 6

Simplifying

n = 6