2(4r+1)-(r+1)=24

Solution for 2(4r+1)-(r+1)=24 equation:

Simplifying
2(4r + 1) + -1(r + 1) = 24

Reorder the terms:
2(1 + 4r) + -1(r + 1) = 24
(1 * 2 + 4r * 2) + -1(r + 1) = 24
(2 + 8r) + -1(r + 1) = 24

Reorder the terms:
2 + 8r + -1(1 + r) = 24
2 + 8r + (1 * -1 + r * -1) = 24
2 + 8r + (-1 + -1r) = 24

Reorder the terms:
2 + -1 + 8r + -1r = 24

Combine like terms: 2 + -1 = 1
1 + 8r + -1r = 24

Combine like terms: 8r + -1r = 7r
1 + 7r = 24

Solving
1 + 7r = 24

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 7r = 24 + -1

Combine like terms: 1 + -1 = 0
0 + 7r = 24 + -1
7r = 24 + -1

Combine like terms: 24 + -1 = 23
7r = 23

Divide each side by '7'.
r = 3.285714286

Simplifying
r = 3.285714286