-7(1+6r)-3(-6+r)=-34

Solution for -7(1+6r)-3(-6+r)=-34 equation:

Simplifying
-7(1 + 6r) + -3(-6 + r) = -34
(1 * -7 + 6r * -7) + -3(-6 + r) = -34
(-7 + -42r) + -3(-6 + r) = -34
-7 + -42r + (-6 * -3 + r * -3) = -34
-7 + -42r + (18 + -3r) = -34

Reorder the terms:
-7 + 18 + -42r + -3r = -34

Combine like terms: -7 + 18 = 11
11 + -42r + -3r = -34

Combine like terms: -42r + -3r = -45r
11 + -45r = -34

Solving
11 + -45r = -34

Solving for variable 'r'.

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

Add '-11' to each side of the equation.
11 + -11 + -45r = -34 + -11

Combine like terms: 11 + -11 = 0
0 + -45r = -34 + -11
-45r = -34 + -11

Combine like terms: -34 + -11 = -45
-45r = -45

Divide each side by '-45'.
r = 1

Simplifying
r = 1