1.6r+6=1.3r+21

Solution for 1.6r+6=1.3r+21 equation:

Simplifying
1.6r + 6 = 1.3r + 21

Reorder the terms:
6 + 1.6r = 1.3r + 21

Reorder the terms:
6 + 1.6r = 21 + 1.3r

Solving
6 + 1.6r = 21 + 1.3r

Solving for variable 'r'.

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

Add '-1.3r' to each side of the equation.
6 + 1.6r + -1.3r = 21 + 1.3r + -1.3r

Combine like terms: 1.6r + -1.3r = 0.3r
6 + 0.3r = 21 + 1.3r + -1.3r

Combine like terms: 1.3r + -1.3r = 0.0
6 + 0.3r = 21 + 0.0
6 + 0.3r = 21

Add '-6' to each side of the equation.
6 + -6 + 0.3r = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 0.3r = 21 + -6
0.3r = 21 + -6

Combine like terms: 21 + -6 = 15
0.3r = 15

Divide each side by '0.3'.
r = 50

Simplifying
r = 50