.5r+2.3r-1=.25r+6

Solution for .5r+2.3r-1=.25r+6 equation:

Simplifying
0.5r + 2.3r + -1 = 0.25r + 6

Reorder the terms:
-1 + 0.5r + 2.3r = 0.25r + 6

Combine like terms: 0.5r + 2.3r = 2.8r
-1 + 2.8r = 0.25r + 6

Reorder the terms:
-1 + 2.8r = 6 + 0.25r

Solving
-1 + 2.8r = 6 + 0.25r

Solving for variable 'r'.

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

Add '-0.25r' to each side of the equation.
-1 + 2.8r + -0.25r = 6 + 0.25r + -0.25r

Combine like terms: 2.8r + -0.25r = 2.55r
-1 + 2.55r = 6 + 0.25r + -0.25r

Combine like terms: 0.25r + -0.25r = 0.00
-1 + 2.55r = 6 + 0.00
-1 + 2.55r = 6

Add '1' to each side of the equation.
-1 + 1 + 2.55r = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 2.55r = 6 + 1
2.55r = 6 + 1

Combine like terms: 6 + 1 = 7
2.55r = 7

Divide each side by '2.55'.
r = 2.745098039

Simplifying
r = 2.745098039