6r-(-6r)-3r+12r+-20r+-6=1

Solution for 6r-(-6r)-3r+12r+-20r+-6=1 equation:

Simplifying
6r + -1(-6r) + -3r + 12r + -20r + -6 = 1

Remove parenthesis around (-6r)
6r + -1 * -6r + -3r + 12r + -20r + -6 = 1

Multiply -1 * -6
6r + 6r + -3r + 12r + -20r + -6 = 1

Reorder the terms:
-6 + 6r + 6r + -3r + 12r + -20r = 1

Combine like terms: 6r + 6r = 12r
-6 + 12r + -3r + 12r + -20r = 1

Combine like terms: 12r + -3r = 9r
-6 + 9r + 12r + -20r = 1

Combine like terms: 9r + 12r = 21r
-6 + 21r + -20r = 1

Combine like terms: 21r + -20r = 1r
-6 + 1r = 1

Solving
-6 + 1r = 1

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + 1r = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 1r = 1 + 6
1r = 1 + 6

Combine like terms: 1 + 6 = 7
1r = 7

Divide each side by '1'.
r = 7

Simplifying
r = 7