9t-5r+2(3r+6t)=

Solution for 9t-5r+2(3r+6t)= equation:

Simplifying
9t + -5r + 2(3r + 6t) = 0
9t + -5r + (3r * 2 + 6t * 2) = 0
9t + -5r + (6r + 12t) = 0

Reorder the terms:
-5r + 6r + 9t + 12t = 0

Combine like terms: -5r + 6r = 1r
1r + 9t + 12t = 0

Combine like terms: 9t + 12t = 21t
1r + 21t = 0

Solving
1r + 21t = 0

Solving for variable 'r'.

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

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

Combine like terms: 21t + -21t = 0
1r + 0 = 0 + -21t
1r = 0 + -21t
Remove the zero:
1r = -21t

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

Simplifying
r = -21t