n=(3n-45)+(2n+15)

Solution for n=(3n-45)+(2n+15) equation:

Simplifying
n = (3n + -45) + (2n + 15)

Reorder the terms:
n = (-45 + 3n) + (2n + 15)

Remove parenthesis around (-45 + 3n)
n = -45 + 3n + (2n + 15)

Reorder the terms:
n = -45 + 3n + (15 + 2n)

Remove parenthesis around (15 + 2n)
n = -45 + 3n + 15 + 2n

Reorder the terms:
n = -45 + 15 + 3n + 2n

Combine like terms: -45 + 15 = -30
n = -30 + 3n + 2n

Combine like terms: 3n + 2n = 5n
n = -30 + 5n

Solving
n = -30 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
n + -5n = -30 + 5n + -5n

Combine like terms: n + -5n = -4n
-4n = -30 + 5n + -5n

Combine like terms: 5n + -5n = 0
-4n = -30 + 0
-4n = -30

Divide each side by '-4'.
n = 7.5

Simplifying
n = 7.5