3(r+4)-(6+2r)=-11

Solution for 3(r+4)-(6+2r)=-11 equation:

Simplifying
3(r + 4) + -1(6 + 2r) = -11

Reorder the terms:
3(4 + r) + -1(6 + 2r) = -11
(4 * 3 + r * 3) + -1(6 + 2r) = -11
(12 + 3r) + -1(6 + 2r) = -11
12 + 3r + (6 * -1 + 2r * -1) = -11
12 + 3r + (-6 + -2r) = -11

Reorder the terms:
12 + -6 + 3r + -2r = -11

Combine like terms: 12 + -6 = 6
6 + 3r + -2r = -11

Combine like terms: 3r + -2r = 1r
6 + 1r = -11

Solving
6 + 1r = -11

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 1r = -11 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = -11 + -6
1r = -11 + -6

Combine like terms: -11 + -6 = -17
1r = -17

Divide each side by '1'.
r = -17

Simplifying
r = -17