6+3r=3(3r-2)

Solution for 6+3r=3(3r-2) equation:

Simplifying
6 + 3r = 3(3r + -2)

Reorder the terms:
6 + 3r = 3(-2 + 3r)
6 + 3r = (-2 * 3 + 3r * 3)
6 + 3r = (-6 + 9r)

Solving
6 + 3r = -6 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
6 + 3r + -9r = -6 + 9r + -9r

Combine like terms: 3r + -9r = -6r
6 + -6r = -6 + 9r + -9r

Combine like terms: 9r + -9r = 0
6 + -6r = -6 + 0
6 + -6r = -6

Add '-6' to each side of the equation.
6 + -6 + -6r = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -6r = -6 + -6
-6r = -6 + -6

Combine like terms: -6 + -6 = -12
-6r = -12

Divide each side by '-6'.
r = 2

Simplifying
r = 2