2r-6(1-11r)=6+3(-6r-4)

Solution for 2r-6(1-11r)=6+3(-6r-4) equation:

Simplifying
2r + -6(1 + -11r) = 6 + 3(-6r + -4)
2r + (1 * -6 + -11r * -6) = 6 + 3(-6r + -4)
2r + (-6 + 66r) = 6 + 3(-6r + -4)

Reorder the terms:
-6 + 2r + 66r = 6 + 3(-6r + -4)

Combine like terms: 2r + 66r = 68r
-6 + 68r = 6 + 3(-6r + -4)

Reorder the terms:
-6 + 68r = 6 + 3(-4 + -6r)
-6 + 68r = 6 + (-4 * 3 + -6r * 3)
-6 + 68r = 6 + (-12 + -18r)

Combine like terms: 6 + -12 = -6
-6 + 68r = -6 + -18r

Add '6' to each side of the equation.
-6 + 6 + 68r = -6 + 6 + -18r

Combine like terms: -6 + 6 = 0
0 + 68r = -6 + 6 + -18r
68r = -6 + 6 + -18r

Combine like terms: -6 + 6 = 0
68r = 0 + -18r
68r = -18r

Solving
68r = -18r

Solving for variable 'r'.

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

Add '18r' to each side of the equation.
68r + 18r = -18r + 18r

Combine like terms: 68r + 18r = 86r
86r = -18r + 18r

Combine like terms: -18r + 18r = 0
86r = 0

Divide each side by '86'.
r = 0

Simplifying
r = 0