4(n+1)-(n-2)=30

Solution for 4(n+1)-(n-2)=30 equation:

Simplifying
4(n + 1) + -1(n + -2) = 30

Reorder the terms:
4(1 + n) + -1(n + -2) = 30
(1 * 4 + n * 4) + -1(n + -2) = 30
(4 + 4n) + -1(n + -2) = 30

Reorder the terms:
4 + 4n + -1(-2 + n) = 30
4 + 4n + (-2 * -1 + n * -1) = 30
4 + 4n + (2 + -1n) = 30

Reorder the terms:
4 + 2 + 4n + -1n = 30

Combine like terms: 4 + 2 = 6
6 + 4n + -1n = 30

Combine like terms: 4n + -1n = 3n
6 + 3n = 30

Solving
6 + 3n = 30

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 3n = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 30 + -6
3n = 30 + -6

Combine like terms: 30 + -6 = 24
3n = 24

Divide each side by '3'.
n = 8

Simplifying
n = 8