6(1+7n)=-33+3n

Solution for 6(1+7n)=-33+3n equation:

Simplifying
6(1 + 7n) = -33 + 3n
(1 * 6 + 7n * 6) = -33 + 3n
(6 + 42n) = -33 + 3n

Solving
6 + 42n = -33 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 42n + -3n = -33 + 3n + -3n

Combine like terms: 42n + -3n = 39n
6 + 39n = -33 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 39n = -33 + 0
6 + 39n = -33

Add '-6' to each side of the equation.
6 + -6 + 39n = -33 + -6

Combine like terms: 6 + -6 = 0
0 + 39n = -33 + -6
39n = -33 + -6

Combine like terms: -33 + -6 = -39
39n = -39

Divide each side by '39'.
n = -1

Simplifying
n = -1