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

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

Simplifying
2 + -1r = -6 + 3(2 + 3r)
2 + -1r = -6 + (2 * 3 + 3r * 3)
2 + -1r = -6 + (6 + 9r)

Combine like terms: -6 + 6 = 0
2 + -1r = 0 + 9r
2 + -1r = 9r

Solving
2 + -1r = 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.
2 + -1r + -9r = 9r + -9r

Combine like terms: -1r + -9r = -10r
2 + -10r = 9r + -9r

Combine like terms: 9r + -9r = 0
2 + -10r = 0

Add '-2' to each side of the equation.
2 + -2 + -10r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -10r = 0 + -2
-10r = 0 + -2

Combine like terms: 0 + -2 = -2
-10r = -2

Divide each side by '-10'.
r = 0.2

Simplifying
r = 0.2