3(n+2)+4n=4(n+2)-(n-11)

Solution for 3(n+2)+4n=4(n+2)-(n-11) equation:

Simplifying
3(n + 2) + 4n = 4(n + 2) + -1(n + -11)

Reorder the terms:
3(2 + n) + 4n = 4(n + 2) + -1(n + -11)
(2 * 3 + n * 3) + 4n = 4(n + 2) + -1(n + -11)
(6 + 3n) + 4n = 4(n + 2) + -1(n + -11)

Combine like terms: 3n + 4n = 7n
6 + 7n = 4(n + 2) + -1(n + -11)

Reorder the terms:
6 + 7n = 4(2 + n) + -1(n + -11)
6 + 7n = (2 * 4 + n * 4) + -1(n + -11)
6 + 7n = (8 + 4n) + -1(n + -11)

Reorder the terms:
6 + 7n = 8 + 4n + -1(-11 + n)
6 + 7n = 8 + 4n + (-11 * -1 + n * -1)
6 + 7n = 8 + 4n + (11 + -1n)

Reorder the terms:
6 + 7n = 8 + 11 + 4n + -1n

Combine like terms: 8 + 11 = 19
6 + 7n = 19 + 4n + -1n

Combine like terms: 4n + -1n = 3n
6 + 7n = 19 + 3n

Solving
6 + 7n = 19 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 7n + -3n = 19 + 3n + -3n

Combine like terms: 7n + -3n = 4n
6 + 4n = 19 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 4n = 19 + 0
6 + 4n = 19

Add '-6' to each side of the equation.
6 + -6 + 4n = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 19 + -6
4n = 19 + -6

Combine like terms: 19 + -6 = 13
4n = 13

Divide each side by '4'.
n = 3.25

Simplifying
n = 3.25