2(4r+3)=-31+6r

Solution for 2(4r+3)=-31+6r equation:

Simplifying
2(4r + 3) = -31 + 6r

Reorder the terms:
2(3 + 4r) = -31 + 6r
(3 * 2 + 4r * 2) = -31 + 6r
(6 + 8r) = -31 + 6r

Solving
6 + 8r = -31 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
6 + 8r + -6r = -31 + 6r + -6r

Combine like terms: 8r + -6r = 2r
6 + 2r = -31 + 6r + -6r

Combine like terms: 6r + -6r = 0
6 + 2r = -31 + 0
6 + 2r = -31

Add '-6' to each side of the equation.
6 + -6 + 2r = -31 + -6

Combine like terms: 6 + -6 = 0
0 + 2r = -31 + -6
2r = -31 + -6

Combine like terms: -31 + -6 = -37
2r = -37

Divide each side by '2'.
r = -18.5

Simplifying
r = -18.5