3(2r+2)=(2r-1)

Solution for 3(2r+2)=(2r-1) equation:

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

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

Reorder the terms:
6 + 6r = (-1 + 2r)

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

Solving
6 + 6r = -1 + 2r

Solving for variable 'r'.

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

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

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

Combine like terms: 2r + -2r = 0
6 + 4r = -1 + 0
6 + 4r = -1

Add '-6' to each side of the equation.
6 + -6 + 4r = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 4r = -1 + -6
4r = -1 + -6

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

Divide each side by '4'.
r = -1.75

Simplifying
r = -1.75