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

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

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

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

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

Solving for variable 'r'.

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

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

Combine like terms: 3r + 2r = 5r
-3 + 5r = -4 + -2r + 2r

Combine like terms: -2r + 2r = 0
-3 + 5r = -4 + 0
-3 + 5r = -4

Add '3' to each side of the equation.
-3 + 3 + 5r = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 5r = -4 + 3
5r = -4 + 3

Combine like terms: -4 + 3 = -1
5r = -1

Divide each side by '5'.
r = -0.2

Simplifying
r = -0.2