-2n+5n=6(-2n+1)-(6+2n)

Solution for -2n+5n=6(-2n+1)-(6+2n) equation:

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

Combine like terms: -2n + 5n = 3n
3n = 6(-2n + 1) + -1(6 + 2n)

Reorder the terms:
3n = 6(1 + -2n) + -1(6 + 2n)
3n = (1 * 6 + -2n * 6) + -1(6 + 2n)
3n = (6 + -12n) + -1(6 + 2n)
3n = 6 + -12n + (6 * -1 + 2n * -1)
3n = 6 + -12n + (-6 + -2n)

Reorder the terms:
3n = 6 + -6 + -12n + -2n

Combine like terms: 6 + -6 = 0
3n = 0 + -12n + -2n
3n = -12n + -2n

Combine like terms: -12n + -2n = -14n
3n = -14n

Solving
3n = -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
3n + 14n = -14n + 14n

Combine like terms: 3n + 14n = 17n
17n = -14n + 14n

Combine like terms: -14n + 14n = 0
17n = 0

Divide each side by '17'.
n = 0

Simplifying
n = 0