Solve the following equation.

6.4n-10=4.4n+6

Answer:8

Step-by-step explanation:Simplifying

6.4n + - 10 = 4.4n + 6

Reorder the terms:

-10 + 6.4n = 4.4n + 6

Reorder the terms:

-10 + 6.4n = 6 + 4.4n

Solving

-10 + 6.4n = 6 + 4.4n

Solving for variable 'n'.

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

Add '-4.4n' to each side of the equation.

-10 + 6.4n + - 4.4n = 6 + 4.4n + - 4.4n

Combine like terms: 6.4n + - 4.4n = 2n

-10 + 2n = 6 + 4.4n + - 4.4n

Combine like terms: 4.4n + - 4.4n = 0.0

-10 + 2n = 6 + 0.0

-10 + 2n = 6

Add '10' to each side of the equation.

-10 + 10 + 2n = 6 + 10

Combine like terms: - 10 + 10 = 0

0 + 2n = 6 + 10

2n = 6 + 10

Combine like terms: 6 + 10 = 16

2n = 16

Divide each side by '2'.

n = 8

Simplifying

n = 8

8

Step-by-step explanation:

6.4n-10=4.4n+6

6.4n-4.4n=6+10

2n=16

n=8