2r+6=16r+13

Solution for 2r+6=16r+13 equation:

Simplifying
2r + 6 = 16r + 13

Reorder the terms:
6 + 2r = 16r + 13

Reorder the terms:
6 + 2r = 13 + 16r

Solving
6 + 2r = 13 + 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
6 + 2r + -16r = 13 + 16r + -16r

Combine like terms: 2r + -16r = -14r
6 + -14r = 13 + 16r + -16r

Combine like terms: 16r + -16r = 0
6 + -14r = 13 + 0
6 + -14r = 13

Add '-6' to each side of the equation.
6 + -6 + -14r = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -14r = 13 + -6
-14r = 13 + -6

Combine like terms: 13 + -6 = 7
-14r = 7

Divide each side by '-14'.
r = -0.5

Simplifying
r = -0.5