5.4r+14.6-10.1r=12.8-3.5r-0.6

Solution for 5.4r+14.6-10.1r=12.8-3.5r-0.6 equation:

Simplifying
5.4r + 14.6 + -10.1r = 12.8 + -3.5r + -0.6

Reorder the terms:
14.6 + 5.4r + -10.1r = 12.8 + -3.5r + -0.6

Combine like terms: 5.4r + -10.1r = -4.7r
14.6 + -4.7r = 12.8 + -3.5r + -0.6

Reorder the terms:
14.6 + -4.7r = 12.8 + -0.6 + -3.5r

Combine like terms: 12.8 + -0.6 = 12.2
14.6 + -4.7r = 12.2 + -3.5r

Solving
14.6 + -4.7r = 12.2 + -3.5r

Solving for variable 'r'.

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

Add '3.5r' to each side of the equation.
14.6 + -4.7r + 3.5r = 12.2 + -3.5r + 3.5r

Combine like terms: -4.7r + 3.5r = -1.2r
14.6 + -1.2r = 12.2 + -3.5r + 3.5r

Combine like terms: -3.5r + 3.5r = 0.0
14.6 + -1.2r = 12.2 + 0.0
14.6 + -1.2r = 12.2

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -1.2r = 12.2 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -1.2r = 12.2 + -14.6
-1.2r = 12.2 + -14.6

Combine like terms: 12.2 + -14.6 = -2.4
-1.2r = -2.4

Divide each side by '-1.2'.
r = 2

Simplifying
r = 2