6=(r-3)+2

Solution for 6=(r-3)+2 equation:

Simplifying
6 = (r + -3) + 2

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

Remove parenthesis around (-3 + r)
6 = -3 + r + 2

Reorder the terms:
6 = -3 + 2 + r

Combine like terms: -3 + 2 = -1
6 = -1 + r

Solving
6 = -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.
6 + -1r = -1 + r + -1r

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

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

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

Combine like terms: -1 + -6 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7