15r-6=11r+42

Solution for 15r-6=11r+42 equation:

Simplifying
15r + -6 = 11r + 42

Reorder the terms:
-6 + 15r = 11r + 42

Reorder the terms:
-6 + 15r = 42 + 11r

Solving
-6 + 15r = 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 + 15r + -11r = 42 + 11r + -11r

Combine like terms: 15r + -11r = 4r
-6 + 4r = 42 + 11r + -11r

Combine like terms: 11r + -11r = 0
-6 + 4r = 42 + 0
-6 + 4r = 42

Add '6' to each side of the equation.
-6 + 6 + 4r = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 4r = 42 + 6
4r = 42 + 6

Combine like terms: 42 + 6 = 48
4r = 48

Divide each side by '4'.
r = 12

Simplifying
r = 12