2(r+3)=(4-r)-11

Solution for 2(r+3)=(4-r)-11 equation:

Simplifying
2(r + 3) = (4 + -1r) + -11

Reorder the terms:
2(3 + r) = (4 + -1r) + -11
(3 * 2 + r * 2) = (4 + -1r) + -11
(6 + 2r) = (4 + -1r) + -11

Remove parenthesis around (4 + -1r)
6 + 2r = 4 + -1r + -11

Reorder the terms:
6 + 2r = 4 + -11 + -1r

Combine like terms: 4 + -11 = -7
6 + 2r = -7 + -1r

Solving
6 + 2r = -7 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
6 + 2r + r = -7 + -1r + r

Combine like terms: 2r + r = 3r
6 + 3r = -7 + -1r + r

Combine like terms: -1r + r = 0
6 + 3r = -7 + 0
6 + 3r = -7

Add '-6' to each side of the equation.
6 + -6 + 3r = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 3r = -7 + -6
3r = -7 + -6

Combine like terms: -7 + -6 = -13
3r = -13

Divide each side by '3'.
r = -4.333333333

Simplifying
r = -4.333333333