33=3(3m+2)

Solution for 33=3(3m+2) equation:

Simplifying
33 = 3(3m + 2)

Reorder the terms:
33 = 3(2 + 3m)
33 = (2 * 3 + 3m * 3)
33 = (6 + 9m)

Solving
33 = 6 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
33 + -9m = 6 + 9m + -9m

Combine like terms: 9m + -9m = 0
33 + -9m = 6 + 0
33 + -9m = 6

Add '-33' to each side of the equation.
33 + -33 + -9m = 6 + -33

Combine like terms: 33 + -33 = 0
0 + -9m = 6 + -33
-9m = 6 + -33

Combine like terms: 6 + -33 = -27
-9m = -27

Divide each side by '-9'.
m = 3

Simplifying
m = 3