75N-1=30N+89

Solution for 75N-1=30N+89 equation:

Simplifying
75N + -1 = 30N + 89

Reorder the terms:
-1 + 75N = 30N + 89

Reorder the terms:
-1 + 75N = 89 + 30N

Solving
-1 + 75N = 89 + 30N

Solving for variable 'N'.

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

Add '-30N' to each side of the equation.
-1 + 75N + -30N = 89 + 30N + -30N

Combine like terms: 75N + -30N = 45N
-1 + 45N = 89 + 30N + -30N

Combine like terms: 30N + -30N = 0
-1 + 45N = 89 + 0
-1 + 45N = 89

Add '1' to each side of the equation.
-1 + 1 + 45N = 89 + 1

Combine like terms: -1 + 1 = 0
0 + 45N = 89 + 1
45N = 89 + 1

Combine like terms: 89 + 1 = 90
45N = 90

Divide each side by '45'.
N = 2

Simplifying
N = 2