9r-6=3r+42

Solution for 9r-6=3r+42 equation:

Simplifying
9r + -6 = 3r + 42

Reorder the terms:
-6 + 9r = 3r + 42

Reorder the terms:
-6 + 9r = 42 + 3r

Solving
-6 + 9r = 42 + 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.
-6 + 9r + -3r = 42 + 3r + -3r

Combine like terms: 9r + -3r = 6r
-6 + 6r = 42 + 3r + -3r

Combine like terms: 3r + -3r = 0
-6 + 6r = 42 + 0
-6 + 6r = 42

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

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

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

Divide each side by '6'.
r = 8

Simplifying
r = 8