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

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

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

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

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

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

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

Remove parenthesis around (-1 + r)
-3 + -1r = 2 + -1 + r

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

Solving
-3 + -1r = 1 + r

Solving for variable 'r'.

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

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

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

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

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

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

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

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

Simplifying
r = -2