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

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

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

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

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

Solving
-2 + 4r = -9 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-2 + 4r + 3r = -9 + -3r + 3r

Combine like terms: 4r + 3r = 7r
-2 + 7r = -9 + -3r + 3r

Combine like terms: -3r + 3r = 0
-2 + 7r = -9 + 0
-2 + 7r = -9

Add '2' to each side of the equation.
-2 + 2 + 7r = -9 + 2

Combine like terms: -2 + 2 = 0
0 + 7r = -9 + 2
7r = -9 + 2

Combine like terms: -9 + 2 = -7
7r = -7

Divide each side by '7'.
r = -1

Simplifying
r = -1