4r+6=39r+13

Solution for 4r+6=39r+13 equation:

Simplifying
4r + 6 = 39r + 13

Reorder the terms:
6 + 4r = 39r + 13

Reorder the terms:
6 + 4r = 13 + 39r

Solving
6 + 4r = 13 + 39r

Solving for variable 'r'.

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

Add '-39r' to each side of the equation.
6 + 4r + -39r = 13 + 39r + -39r

Combine like terms: 4r + -39r = -35r
6 + -35r = 13 + 39r + -39r

Combine like terms: 39r + -39r = 0
6 + -35r = 13 + 0
6 + -35r = 13

Add '-6' to each side of the equation.
6 + -6 + -35r = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -35r = 13 + -6
-35r = 13 + -6

Combine like terms: 13 + -6 = 7
-35r = 7

Divide each side by '-35'.
r = -0.2

Simplifying
r = -0.2