3(2r+7)+2(4r+1)=37

Solution for 3(2r+7)+2(4r+1)=37 equation:

Simplifying
3(2r + 7) + 2(4r + 1) = 37

Reorder the terms:
3(7 + 2r) + 2(4r + 1) = 37
(7 * 3 + 2r * 3) + 2(4r + 1) = 37
(21 + 6r) + 2(4r + 1) = 37

Reorder the terms:
21 + 6r + 2(1 + 4r) = 37
21 + 6r + (1 * 2 + 4r * 2) = 37
21 + 6r + (2 + 8r) = 37

Reorder the terms:
21 + 2 + 6r + 8r = 37

Combine like terms: 21 + 2 = 23
23 + 6r + 8r = 37

Combine like terms: 6r + 8r = 14r
23 + 14r = 37

Solving
23 + 14r = 37

Solving for variable 'r'.

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

Add '-23' to each side of the equation.
23 + -23 + 14r = 37 + -23

Combine like terms: 23 + -23 = 0
0 + 14r = 37 + -23
14r = 37 + -23

Combine like terms: 37 + -23 = 14
14r = 14

Divide each side by '14'.
r = 1

Simplifying
r = 1