6(7+3r)-7r=5(6+2r)

Solution for 6(7+3r)-7r=5(6+2r) equation:

Simplifying
6(7 + 3r) + -7r = 5(6 + 2r)
(7 * 6 + 3r * 6) + -7r = 5(6 + 2r)
(42 + 18r) + -7r = 5(6 + 2r)

Combine like terms: 18r + -7r = 11r
42 + 11r = 5(6 + 2r)
42 + 11r = (6 * 5 + 2r * 5)
42 + 11r = (30 + 10r)

Solving
42 + 11r = 30 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
42 + 11r + -10r = 30 + 10r + -10r

Combine like terms: 11r + -10r = 1r
42 + 1r = 30 + 10r + -10r

Combine like terms: 10r + -10r = 0
42 + 1r = 30 + 0
42 + 1r = 30

Add '-42' to each side of the equation.
42 + -42 + 1r = 30 + -42

Combine like terms: 42 + -42 = 0
0 + 1r = 30 + -42
1r = 30 + -42

Combine like terms: 30 + -42 = -12
1r = -12

Divide each side by '1'.
r = -12

Simplifying
r = -12