r+6=7r-36

Solution for r+6=7r-36 equation:

Simplifying
r + 6 = 7r + -36

Reorder the terms:
6 + r = 7r + -36

Reorder the terms:
6 + r = -36 + 7r

Solving
6 + r = -36 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
6 + r + -7r = -36 + 7r + -7r

Combine like terms: r + -7r = -6r
6 + -6r = -36 + 7r + -7r

Combine like terms: 7r + -7r = 0
6 + -6r = -36 + 0
6 + -6r = -36

Add '-6' to each side of the equation.
6 + -6 + -6r = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -6r = -36 + -6
-6r = -36 + -6

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

Divide each side by '-6'.
r = 7

Simplifying
r = 7