-6(r+1)+2(7r-7)=-20

Solution for -6(r+1)+2(7r-7)=-20 equation:

Simplifying
-6(r + 1) + 2(7r + -7) = -20

Reorder the terms:
-6(1 + r) + 2(7r + -7) = -20
(1 * -6 + r * -6) + 2(7r + -7) = -20
(-6 + -6r) + 2(7r + -7) = -20

Reorder the terms:
-6 + -6r + 2(-7 + 7r) = -20
-6 + -6r + (-7 * 2 + 7r * 2) = -20
-6 + -6r + (-14 + 14r) = -20

Reorder the terms:
-6 + -14 + -6r + 14r = -20

Combine like terms: -6 + -14 = -20
-20 + -6r + 14r = -20

Combine like terms: -6r + 14r = 8r
-20 + 8r = -20

Add '20' to each side of the equation.
-20 + 20 + 8r = -20 + 20

Combine like terms: -20 + 20 = 0
0 + 8r = -20 + 20
8r = -20 + 20

Combine like terms: -20 + 20 = 0
8r = 0

Solving
8r = 0

Solving for variable 'r'.

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

Divide each side by '8'.
r = 0

Simplifying
r = 0