(5n+4)-(6n+(-2))=

Solution for (5n+4)-(6n+(-2))= equation:

Simplifying
(5n + 4) + -1(6n + (-2)) = 0

Reorder the terms:
(4 + 5n) + -1(6n + (-2)) = 0

Remove parenthesis around (4 + 5n)
4 + 5n + -1(6n + (-2)) = 0
4 + 5n + -1(6n + -2) = 0

Reorder the terms:
4 + 5n + -1(-2 + 6n) = 0
4 + 5n + (-2 * -1 + 6n * -1) = 0
4 + 5n + (2 + -6n) = 0

Reorder the terms:
4 + 2 + 5n + -6n = 0

Combine like terms: 4 + 2 = 6
6 + 5n + -6n = 0

Combine like terms: 5n + -6n = -1n
6 + -1n = 0

Solving
6 + -1n = 0

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 + -1n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 0 + -6
-1n = 0 + -6

Combine like terms: 0 + -6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6