7r+6=3r-2

Solution for 7r+6=3r-2 equation:

Simplifying
7r + 6 = 3r + -2

Reorder the terms:
6 + 7r = 3r + -2

Reorder the terms:
6 + 7r = -2 + 3r

Solving
6 + 7r = -2 + 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 + 7r + -3r = -2 + 3r + -3r

Combine like terms: 7r + -3r = 4r
6 + 4r = -2 + 3r + -3r

Combine like terms: 3r + -3r = 0
6 + 4r = -2 + 0
6 + 4r = -2

Add '-6' to each side of the equation.
6 + -6 + 4r = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 4r = -2 + -6
4r = -2 + -6

Combine like terms: -2 + -6 = -8
4r = -8

Divide each side by '4'.
r = -2

Simplifying
r = -2