31=3(3r+2)-2

Solution for 31=3(3r+2)-2 equation:

Simplifying
31 = 3(3r + 2) + -2

Reorder the terms:
31 = 3(2 + 3r) + -2
31 = (2 * 3 + 3r * 3) + -2
31 = (6 + 9r) + -2

Reorder the terms:
31 = 6 + -2 + 9r

Combine like terms: 6 + -2 = 4
31 = 4 + 9r

Solving
31 = 4 + 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.
31 + -9r = 4 + 9r + -9r

Combine like terms: 9r + -9r = 0
31 + -9r = 4 + 0
31 + -9r = 4

Add '-31' to each side of the equation.
31 + -31 + -9r = 4 + -31

Combine like terms: 31 + -31 = 0
0 + -9r = 4 + -31
-9r = 4 + -31

Combine like terms: 4 + -31 = -27
-9r = -27

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

Simplifying
r = 3