20r+6=258-16r

Solution for 20r+6=258-16r equation:

Simplifying
20r + 6 = 258 + -16r

Reorder the terms:
6 + 20r = 258 + -16r

Solving
6 + 20r = 258 + -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 + 20r + 16r = 258 + -16r + 16r

Combine like terms: 20r + 16r = 36r
6 + 36r = 258 + -16r + 16r

Combine like terms: -16r + 16r = 0
6 + 36r = 258 + 0
6 + 36r = 258

Add '-6' to each side of the equation.
6 + -6 + 36r = 258 + -6

Combine like terms: 6 + -6 = 0
0 + 36r = 258 + -6
36r = 258 + -6

Combine like terms: 258 + -6 = 252
36r = 252

Divide each side by '36'.
r = 7

Simplifying
r = 7