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

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

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

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

Remove parenthesis around (4r)
6 + 2r = 3 * 4r + -11

Multiply 3 * 4
6 + 2r = 12r + -11

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

Solving
6 + 2r = -11 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
6 + 2r + -12r = -11 + 12r + -12r

Combine like terms: 2r + -12r = -10r
6 + -10r = -11 + 12r + -12r

Combine like terms: 12r + -12r = 0
6 + -10r = -11 + 0
6 + -10r = -11

Add '-6' to each side of the equation.
6 + -6 + -10r = -11 + -6

Combine like terms: 6 + -6 = 0
0 + -10r = -11 + -6
-10r = -11 + -6

Combine like terms: -11 + -6 = -17
-10r = -17

Divide each side by '-10'.
r = 1.7

Simplifying
r = 1.7