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

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

Simplifying
2r + 2(5r + 6) = -6 + 6r

Reorder the terms:
2r + 2(6 + 5r) = -6 + 6r
2r + (6 * 2 + 5r * 2) = -6 + 6r
2r + (12 + 10r) = -6 + 6r

Reorder the terms:
12 + 2r + 10r = -6 + 6r

Combine like terms: 2r + 10r = 12r
12 + 12r = -6 + 6r

Solving
12 + 12r = -6 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
12 + 12r + -6r = -6 + 6r + -6r

Combine like terms: 12r + -6r = 6r
12 + 6r = -6 + 6r + -6r

Combine like terms: 6r + -6r = 0
12 + 6r = -6 + 0
12 + 6r = -6

Add '-12' to each side of the equation.
12 + -12 + 6r = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 6r = -6 + -12
6r = -6 + -12

Combine like terms: -6 + -12 = -18
6r = -18

Divide each side by '6'.
r = -3

Simplifying
r = -3