3(3r+2)-2(4r-1)=10

Solution for 3(3r+2)-2(4r-1)=10 equation:

Simplifying
3(3r + 2) + -2(4r + -1) = 10

Reorder the terms:
3(2 + 3r) + -2(4r + -1) = 10
(2 * 3 + 3r * 3) + -2(4r + -1) = 10
(6 + 9r) + -2(4r + -1) = 10

Reorder the terms:
6 + 9r + -2(-1 + 4r) = 10
6 + 9r + (-1 * -2 + 4r * -2) = 10
6 + 9r + (2 + -8r) = 10

Reorder the terms:
6 + 2 + 9r + -8r = 10

Combine like terms: 6 + 2 = 8
8 + 9r + -8r = 10

Combine like terms: 9r + -8r = 1r
8 + 1r = 10

Solving
8 + 1r = 10

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 + 1r = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 1r = 10 + -8
1r = 10 + -8

Combine like terms: 10 + -8 = 2
1r = 2

Divide each side by '1'.
r = 2

Simplifying
r = 2