6(1-2r)=-34-7r

Solution for 6(1-2r)=-34-7r equation:

Simplifying
6(1 + -2r) = -34 + -7r
(1 * 6 + -2r * 6) = -34 + -7r
(6 + -12r) = -34 + -7r

Solving
6 + -12r = -34 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
6 + -12r + 7r = -34 + -7r + 7r

Combine like terms: -12r + 7r = -5r
6 + -5r = -34 + -7r + 7r

Combine like terms: -7r + 7r = 0
6 + -5r = -34 + 0
6 + -5r = -34

Add '-6' to each side of the equation.
6 + -6 + -5r = -34 + -6

Combine like terms: 6 + -6 = 0
0 + -5r = -34 + -6
-5r = -34 + -6

Combine like terms: -34 + -6 = -40
-5r = -40

Divide each side by '-5'.
r = 8

Simplifying
r = 8