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

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

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

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

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

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

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

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

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

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

Solving
-1r = 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.
-1r + -3r = 3r + -3r

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

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

Divide each side by '-4'.
r = 0

Simplifying
r = 0