2r-6=42+8r

Solution for 2r-6=42+8r equation:

Simplifying
2r + -6 = 42 + 8r

Reorder the terms:
-6 + 2r = 42 + 8r

Solving
-6 + 2r = 42 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-6 + 2r + -8r = 42 + 8r + -8r

Combine like terms: 2r + -8r = -6r
-6 + -6r = 42 + 8r + -8r

Combine like terms: 8r + -8r = 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