-3n+6=6(1+5n)-n

Solution for -3n+6=6(1+5n)-n equation:

Simplifying
-3n + 6 = 6(1 + 5n) + -1n

Reorder the terms:
6 + -3n = 6(1 + 5n) + -1n
6 + -3n = (1 * 6 + 5n * 6) + -1n
6 + -3n = (6 + 30n) + -1n

Combine like terms: 30n + -1n = 29n
6 + -3n = 6 + 29n

Add '-6' to each side of the equation.
6 + -6 + -3n = 6 + -6 + 29n

Combine like terms: 6 + -6 = 0
0 + -3n = 6 + -6 + 29n
-3n = 6 + -6 + 29n

Combine like terms: 6 + -6 = 0
-3n = 0 + 29n
-3n = 29n

Solving
-3n = 29n

Solving for variable 'n'.

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

Add '-29n' to each side of the equation.
-3n + -29n = 29n + -29n

Combine like terms: -3n + -29n = -32n
-32n = 29n + -29n

Combine like terms: 29n + -29n = 0
-32n = 0

Divide each side by '-32'.
n = 0

Simplifying
n = 0