0.3(2-3r)=2.1r+6

Solution for 0.3(2-3r)=2.1r+6 equation:

Simplifying
0.3(2 + -3r) = 2.1r + 6
(2 * 0.3 + -3r * 0.3) = 2.1r + 6
(0.6 + -0.9r) = 2.1r + 6

Reorder the terms:
0.6 + -0.9r = 6 + 2.1r

Solving
0.6 + -0.9r = 6 + 2.1r

Solving for variable 'r'.

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

Add '-2.1r' to each side of the equation.
0.6 + -0.9r + -2.1r = 6 + 2.1r + -2.1r

Combine like terms: -0.9r + -2.1r = -3r
0.6 + -3r = 6 + 2.1r + -2.1r

Combine like terms: 2.1r + -2.1r = 0.0
0.6 + -3r = 6 + 0.0
0.6 + -3r = 6

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -3r = 6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -3r = 6 + -0.6
-3r = 6 + -0.6

Combine like terms: 6 + -0.6 = 5.4
-3r = 5.4

Divide each side by '-3'.
r = -1.8

Simplifying
r = -1.8