-2(2r-3)+8(7+2r)=-34

Solution for -2(2r-3)+8(7+2r)=-34 equation:

Simplifying
-2(2r + -3) + 8(7 + 2r) = -34

Reorder the terms:
-2(-3 + 2r) + 8(7 + 2r) = -34
(-3 * -2 + 2r * -2) + 8(7 + 2r) = -34
(6 + -4r) + 8(7 + 2r) = -34
6 + -4r + (7 * 8 + 2r * 8) = -34
6 + -4r + (56 + 16r) = -34

Reorder the terms:
6 + 56 + -4r + 16r = -34

Combine like terms: 6 + 56 = 62
62 + -4r + 16r = -34

Combine like terms: -4r + 16r = 12r
62 + 12r = -34

Solving
62 + 12r = -34

Solving for variable 'r'.

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

Add '-62' to each side of the equation.
62 + -62 + 12r = -34 + -62

Combine like terms: 62 + -62 = 0
0 + 12r = -34 + -62
12r = -34 + -62

Combine like terms: -34 + -62 = -96
12r = -96

Divide each side by '12'.
r = -8

Simplifying
r = -8