-2+4(1-r)=-3(r-1)

Solution for -2+4(1-r)=-3(r-1) equation:

Simplifying
-2 + 4(1 + -1r) = -3(r + -1)
-2 + (1 * 4 + -1r * 4) = -3(r + -1)
-2 + (4 + -4r) = -3(r + -1)

Combine like terms: -2 + 4 = 2
2 + -4r = -3(r + -1)

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

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

Combine like terms: -4r + 3r = -1r
2 + -1r = 3 + -3r + 3r

Combine like terms: -3r + 3r = 0
2 + -1r = 3 + 0
2 + -1r = 3

Add '-2' to each side of the equation.
2 + -2 + -1r = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 3 + -2
-1r = 3 + -2

Combine like terms: 3 + -2 = 1
-1r = 1

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

Simplifying
r = -1