2(3r-0.2)+1.5r=14.6

Solution for 2(3r-0.2)+1.5r=14.6 equation:

Simplifying
2(3r + -0.2) + 1.5r = 14.6

Reorder the terms:
2(-0.2 + 3r) + 1.5r = 14.6
(-0.2 * 2 + 3r * 2) + 1.5r = 14.6
(-0.4 + 6r) + 1.5r = 14.6

Combine like terms: 6r + 1.5r = 7.5r
-0.4 + 7.5r = 14.6

Solving
-0.4 + 7.5r = 14.6

Solving for variable 'r'.

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 7.5r = 14.6 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 7.5r = 14.6 + 0.4
7.5r = 14.6 + 0.4

Combine like terms: 14.6 + 0.4 = 15
7.5r = 15

Divide each side by '7.5'.
r = 2

Simplifying
r = 2