-5(r+7)-6(2r)=-34

Solution for -5(r+7)-6(2r)=-34 equation:

Simplifying
-5(r + 7) + -6(2r) = -34

Reorder the terms:
-5(7 + r) + -6(2r) = -34
(7 * -5 + r * -5) + -6(2r) = -34
(-35 + -5r) + -6(2r) = -34

Remove parenthesis around (2r)
-35 + -5r + -6 * 2r = -34

Multiply -6 * 2
-35 + -5r + -12r = -34

Combine like terms: -5r + -12r = -17r
-35 + -17r = -34

Solving
-35 + -17r = -34

Solving for variable 'r'.

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

Add '35' to each side of the equation.
-35 + 35 + -17r = -34 + 35

Combine like terms: -35 + 35 = 0
0 + -17r = -34 + 35
-17r = -34 + 35

Combine like terms: -34 + 35 = 1
-17r = 1

Divide each side by '-17'.
r = -0.05882352941

Simplifying
r = -0.05882352941