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

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

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

Reorder the terms:
-3(-2 + r) = -4(r + -1)
(-2 * -3 + r * -3) = -4(r + -1)
(6 + -3r) = -4(r + -1)

Reorder the terms:
6 + -3r = -4(-1 + r)
6 + -3r = (-1 * -4 + r * -4)
6 + -3r = (4 + -4r)

Solving
6 + -3r = 4 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
6 + -3r + 4r = 4 + -4r + 4r

Combine like terms: -3r + 4r = 1r
6 + 1r = 4 + -4r + 4r

Combine like terms: -4r + 4r = 0
6 + 1r = 4 + 0
6 + 1r = 4

Add '-6' to each side of the equation.
6 + -6 + 1r = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = 4 + -6
1r = 4 + -6

Combine like terms: 4 + -6 = -2
1r = -2

Divide each side by '1'.
r = -2

Simplifying
r = -2