2(2r+3)+1=1

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

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

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

Reorder the terms:
6 + 1 + 4r = 1

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

Solving
7 + 4r = 1

Solving for variable 'r'.

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

Add '-7' to each side of the equation.
7 + -7 + 4r = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 4r = 1 + -7
4r = 1 + -7

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

Divide each side by '4'.
r = -1.5

Simplifying
r = -1.5