-4(r-4)+2(5r+3)=34

Solution for -4(r-4)+2(5r+3)=34 equation:

Simplifying
-4(r + -4) + 2(5r + 3) = 34

Reorder the terms:
-4(-4 + r) + 2(5r + 3) = 34
(-4 * -4 + r * -4) + 2(5r + 3) = 34
(16 + -4r) + 2(5r + 3) = 34

Reorder the terms:
16 + -4r + 2(3 + 5r) = 34
16 + -4r + (3 * 2 + 5r * 2) = 34
16 + -4r + (6 + 10r) = 34

Reorder the terms:
16 + 6 + -4r + 10r = 34

Combine like terms: 16 + 6 = 22
22 + -4r + 10r = 34

Combine like terms: -4r + 10r = 6r
22 + 6r = 34

Solving
22 + 6r = 34

Solving for variable 'r'.

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

Add '-22' to each side of the equation.
22 + -22 + 6r = 34 + -22

Combine like terms: 22 + -22 = 0
0 + 6r = 34 + -22
6r = 34 + -22

Combine like terms: 34 + -22 = 12
6r = 12

Divide each side by '6'.
r = 2

Simplifying
r = 2