3(r+13)=7r

Solution for 3(r+13)=7r equation:

Simplifying
3(r + 13) = 7r

Reorder the terms:
3(13 + r) = 7r
(13 * 3 + r * 3) = 7r
(39 + 3r) = 7r

Solving
39 + 3r = 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
39 + 3r + -7r = 7r + -7r

Combine like terms: 3r + -7r = -4r
39 + -4r = 7r + -7r

Combine like terms: 7r + -7r = 0
39 + -4r = 0

Add '-39' to each side of the equation.
39 + -39 + -4r = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -4r = 0 + -39
-4r = 0 + -39

Combine like terms: 0 + -39 = -39
-4r = -39

Divide each side by '-4'.
r = 9.75

Simplifying
r = 9.75