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

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

Simplifying
t + -2(3 + -2r) = 2t + 9
t + (3 * -2 + -2r * -2) = 2t + 9
t + (-6 + 4r) = 2t + 9

Reorder the terms:
-6 + 4r + t = 2t + 9

Reorder the terms:
-6 + 4r + t = 9 + 2t

Solving
-6 + 4r + t = 9 + 2t

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 4r + 6 + t = 9 + 6 + 2t

Reorder the terms:
-6 + 6 + 4r + t = 9 + 6 + 2t

Combine like terms: -6 + 6 = 0
0 + 4r + t = 9 + 6 + 2t
4r + t = 9 + 6 + 2t

Combine like terms: 9 + 6 = 15
4r + t = 15 + 2t

Add '-1t' to each side of the equation.
4r + t + -1t = 15 + 2t + -1t

Combine like terms: t + -1t = 0
4r + 0 = 15 + 2t + -1t
4r = 15 + 2t + -1t

Combine like terms: 2t + -1t = 1t
4r = 15 + 1t

Divide each side by '4'.
r = 3.75 + 0.25t

Simplifying
r = 3.75 + 0.25t