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

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

Simplifying
3(1 + -1r) = -2(2 + -1r)
(1 * 3 + -1r * 3) = -2(2 + -1r)
(3 + -3r) = -2(2 + -1r)
3 + -3r = (2 * -2 + -1r * -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 = -7
-5r = -7

Divide each side by '-5'.
r = 1.4

Simplifying
r = 1.4