.4*r-1.2=.3*r+.6

Solution for .4*r-1.2=.3*r+.6 equation:

Simplifying
0.4r + -1.2 = 0.3r + 0.6

Reorder the terms:
-1.2 + 0.4r = 0.3r + 0.6

Reorder the terms:
-1.2 + 0.4r = 0.6 + 0.3r

Solving
-1.2 + 0.4r = 0.6 + 0.3r

Solving for variable 'r'.

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

Add '-0.3r' to each side of the equation.
-1.2 + 0.4r + -0.3r = 0.6 + 0.3r + -0.3r

Combine like terms: 0.4r + -0.3r = 0.1r
-1.2 + 0.1r = 0.6 + 0.3r + -0.3r

Combine like terms: 0.3r + -0.3r = 0.0
-1.2 + 0.1r = 0.6 + 0.0
-1.2 + 0.1r = 0.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.1r = 0.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.1r = 0.6 + 1.2
0.1r = 0.6 + 1.2

Combine like terms: 0.6 + 1.2 = 1.8
0.1r = 1.8

Divide each side by '0.1'.
r = 18

Simplifying
r = 18