-5n+6=-9(-3-4n)-2n

Solution for -5n+6=-9(-3-4n)-2n equation:

Simplifying
-5n + 6 = -9(-3 + -4n) + -2n

Reorder the terms:
6 + -5n = -9(-3 + -4n) + -2n
6 + -5n = (-3 * -9 + -4n * -9) + -2n
6 + -5n = (27 + 36n) + -2n

Combine like terms: 36n + -2n = 34n
6 + -5n = 27 + 34n

Solving
6 + -5n = 27 + 34n

Solving for variable 'n'.

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

Add '-34n' to each side of the equation.
6 + -5n + -34n = 27 + 34n + -34n

Combine like terms: -5n + -34n = -39n
6 + -39n = 27 + 34n + -34n

Combine like terms: 34n + -34n = 0
6 + -39n = 27 + 0
6 + -39n = 27

Add '-6' to each side of the equation.
6 + -6 + -39n = 27 + -6

Combine like terms: 6 + -6 = 0
0 + -39n = 27 + -6
-39n = 27 + -6

Combine like terms: 27 + -6 = 21
-39n = 21

Divide each side by '-39'.
n = -0.5384615385

Simplifying
n = -0.5384615385