3(2-r)-2(3r-1)=7

Solution for 3(2-r)-2(3r-1)=7 equation:

Simplifying
3(2 + -1r) + -2(3r + -1) = 7
(2 * 3 + -1r * 3) + -2(3r + -1) = 7
(6 + -3r) + -2(3r + -1) = 7

Reorder the terms:
6 + -3r + -2(-1 + 3r) = 7
6 + -3r + (-1 * -2 + 3r * -2) = 7
6 + -3r + (2 + -6r) = 7

Reorder the terms:
6 + 2 + -3r + -6r = 7

Combine like terms: 6 + 2 = 8
8 + -3r + -6r = 7

Combine like terms: -3r + -6r = -9r
8 + -9r = 7

Solving
8 + -9r = 7

Solving for variable 'r'.

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

Add '-8' to each side of the equation.
8 + -8 + -9r = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -9r = 7 + -8
-9r = 7 + -8

Combine like terms: 7 + -8 = -1
-9r = -1

Divide each side by '-9'.
r = 0.1111111111

Simplifying
r = 0.1111111111