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

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

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

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

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

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

Reorder the terms:
3 + 6r = 1 + 2r

Solving
3 + 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.
3 + 6r + -2r = 1 + 2r + -2r

Combine like terms: 6r + -2r = 4r
3 + 4r = 1 + 2r + -2r

Combine like terms: 2r + -2r = 0
3 + 4r = 1 + 0
3 + 4r = 1

Add '-3' to each side of the equation.
3 + -3 + 4r = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 4r = 1 + -3
4r = 1 + -3

Combine like terms: 1 + -3 = -2
4r = -2

Divide each side by '4'.
r = -0.5

Simplifying
r = -0.5