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

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

Simplifying
-34 + 7r = 6(2r + -7) + -7r

Reorder the terms:
-34 + 7r = 6(-7 + 2r) + -7r
-34 + 7r = (-7 * 6 + 2r * 6) + -7r
-34 + 7r = (-42 + 12r) + -7r

Combine like terms: 12r + -7r = 5r
-34 + 7r = -42 + 5r

Solving
-34 + 7r = -42 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-34 + 7r + -5r = -42 + 5r + -5r

Combine like terms: 7r + -5r = 2r
-34 + 2r = -42 + 5r + -5r

Combine like terms: 5r + -5r = 0
-34 + 2r = -42 + 0
-34 + 2r = -42

Add '34' to each side of the equation.
-34 + 34 + 2r = -42 + 34

Combine like terms: -34 + 34 = 0
0 + 2r = -42 + 34
2r = -42 + 34

Combine like terms: -42 + 34 = -8
2r = -8

Divide each side by '2'.
r = -4

Simplifying
r = -4