7r+6+4r=30+3r

Solution for 7r+6+4r=30+3r equation:

Simplifying
7r + 6 + 4r = 30 + 3r

Reorder the terms:
6 + 7r + 4r = 30 + 3r

Combine like terms: 7r + 4r = 11r
6 + 11r = 30 + 3r

Solving
6 + 11r = 30 + 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 + 11r + -3r = 30 + 3r + -3r

Combine like terms: 11r + -3r = 8r
6 + 8r = 30 + 3r + -3r

Combine like terms: 3r + -3r = 0
6 + 8r = 30 + 0
6 + 8r = 30

Add '-6' to each side of the equation.
6 + -6 + 8r = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 8r = 30 + -6
8r = 30 + -6

Combine like terms: 30 + -6 = 24
8r = 24

Divide each side by '8'.
r = 3

Simplifying
r = 3