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

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

Simplifying
3 + -6r = -1r + 2(-3 + -4r)
3 + -6r = -1r + (-3 * 2 + -4r * 2)
3 + -6r = -1r + (-6 + -8r)

Reorder the terms:
3 + -6r = -6 + -1r + -8r

Combine like terms: -1r + -8r = -9r
3 + -6r = -6 + -9r

Solving
3 + -6r = -6 + -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
3 + -6r + 9r = -6 + -9r + 9r

Combine like terms: -6r + 9r = 3r
3 + 3r = -6 + -9r + 9r

Combine like terms: -9r + 9r = 0
3 + 3r = -6 + 0
3 + 3r = -6

Add '-3' to each side of the equation.
3 + -3 + 3r = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 3r = -6 + -3
3r = -6 + -3

Combine like terms: -6 + -3 = -9
3r = -9

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

Simplifying
r = -3