1.6r+6=1.2r+14

Solution for 1.6r+6=1.2r+14 equation:

Simplifying
1.6r + 6 = 1.2r + 14

Reorder the terms:
6 + 1.6r = 1.2r + 14

Reorder the terms:
6 + 1.6r = 14 + 1.2r

Solving
6 + 1.6r = 14 + 1.2r

Solving for variable 'r'.

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

Add '-1.2r' to each side of the equation.
6 + 1.6r + -1.2r = 14 + 1.2r + -1.2r

Combine like terms: 1.6r + -1.2r = 0.4r
6 + 0.4r = 14 + 1.2r + -1.2r

Combine like terms: 1.2r + -1.2r = 0.0
6 + 0.4r = 14 + 0.0
6 + 0.4r = 14

Add '-6' to each side of the equation.
6 + -6 + 0.4r = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 0.4r = 14 + -6
0.4r = 14 + -6

Combine like terms: 14 + -6 = 8
0.4r = 8

Divide each side by '0.4'.
r = 20

Simplifying
r = 20