3r+2t+20+10-2r-9=

Solution for 3r+2t+20+10-2r-9= equation:

Simplifying
3r + 2t + 20 + 10 + -2r + -9 = 0

Reorder the terms:
20 + 10 + -9 + 3r + -2r + 2t = 0

Combine like terms: 20 + 10 = 30
30 + -9 + 3r + -2r + 2t = 0

Combine like terms: 30 + -9 = 21
21 + 3r + -2r + 2t = 0

Combine like terms: 3r + -2r = 1r
21 + 1r + 2t = 0

Solving
21 + 1r + 2t = 0

Solving for variable 'r'.

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

Add '-21' to each side of the equation.
21 + 1r + -21 + 2t = 0 + -21

Reorder the terms:
21 + -21 + 1r + 2t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 1r + 2t = 0 + -21
1r + 2t = 0 + -21

Combine like terms: 0 + -21 = -21
1r + 2t = -21

Add '-2t' to each side of the equation.
1r + 2t + -2t = -21 + -2t

Combine like terms: 2t + -2t = 0
1r + 0 = -21 + -2t
1r = -21 + -2t

Divide each side by '1'.
r = -21 + -2t

Simplifying
r = -21 + -2t