2(-3+4r)=-20+r

Solution for 2(-3+4r)=-20+r equation:

Simplifying
2(-3 + 4r) = -20 + r
(-3 * 2 + 4r * 2) = -20 + r
(-6 + 8r) = -20 + r

Solving
-6 + 8r = -20 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-6 + 8r + -1r = -20 + r + -1r

Combine like terms: 8r + -1r = 7r
-6 + 7r = -20 + r + -1r

Combine like terms: r + -1r = 0
-6 + 7r = -20 + 0
-6 + 7r = -20

Add '6' to each side of the equation.
-6 + 6 + 7r = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 7r = -20 + 6
7r = -20 + 6

Combine like terms: -20 + 6 = -14
7r = -14

Divide each side by '7'.
r = -2

Simplifying
r = -2