33-7n=-6(6+5n)

Solution for 33-7n=-6(6+5n) equation:

Simplifying
33 + -7n = -6(6 + 5n)
33 + -7n = (6 * -6 + 5n * -6)
33 + -7n = (-36 + -30n)

Solving
33 + -7n = -36 + -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 + -7n + 30n = -36 + -30n + 30n

Combine like terms: -7n + 30n = 23n
33 + 23n = -36 + -30n + 30n

Combine like terms: -30n + 30n = 0
33 + 23n = -36 + 0
33 + 23n = -36

Add '-33' to each side of the equation.
33 + -33 + 23n = -36 + -33

Combine like terms: 33 + -33 = 0
0 + 23n = -36 + -33
23n = -36 + -33

Combine like terms: -36 + -33 = -69
23n = -69

Divide each side by '23'.
n = -3

Simplifying
n = -3