3r+6=48+11r-6

Solution for 3r+6=48+11r-6 equation:

Simplifying
3r + 6 = 48 + 11r + -6

Reorder the terms:
6 + 3r = 48 + 11r + -6

Reorder the terms:
6 + 3r = 48 + -6 + 11r

Combine like terms: 48 + -6 = 42
6 + 3r = 42 + 11r

Solving
6 + 3r = 42 + 11r

Solving for variable 'r'.

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

Add '-11r' to each side of the equation.
6 + 3r + -11r = 42 + 11r + -11r

Combine like terms: 3r + -11r = -8r
6 + -8r = 42 + 11r + -11r

Combine like terms: 11r + -11r = 0
6 + -8r = 42 + 0
6 + -8r = 42

Add '-6' to each side of the equation.
6 + -6 + -8r = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -8r = 42 + -6
-8r = 42 + -6

Combine like terms: 42 + -6 = 36
-8r = 36

Divide each side by '-8'.
r = -4.5

Simplifying
r = -4.5