33+3n=6(5n+1)

Solution for 33+3n=6(5n+1) equation:

Simplifying
33 + 3n = 6(5n + 1)

Reorder the terms:
33 + 3n = 6(1 + 5n)
33 + 3n = (1 * 6 + 5n * 6)
33 + 3n = (6 + 30n)

Solving
33 + 3n = 6 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
33 + 3n + -30n = 6 + 30n + -30n

Combine like terms: 3n + -30n = -27n
33 + -27n = 6 + 30n + -30n

Combine like terms: 30n + -30n = 0
33 + -27n = 6 + 0
33 + -27n = 6

Add '-33' to each side of the equation.
33 + -33 + -27n = 6 + -33

Combine like terms: 33 + -33 = 0
0 + -27n = 6 + -33
-27n = 6 + -33

Combine like terms: 6 + -33 = -27
-27n = -27

Divide each side by '-27'.
n = 1

Simplifying
n = 1