0.75r-1=0.25(r+8)

Solution for 0.75r-1=0.25(r+8) equation:

Simplifying
0.75r + -1 = 0.25(r + 8)

Reorder the terms:
-1 + 0.75r = 0.25(r + 8)

Reorder the terms:
-1 + 0.75r = 0.25(8 + r)
-1 + 0.75r = (8 * 0.25 + r * 0.25)
-1 + 0.75r = (2 + 0.25r)

Solving
-1 + 0.75r = 2 + 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 + 0.75r + -0.25r = 2 + 0.25r + -0.25r

Combine like terms: 0.75r + -0.25r = 0.5r
-1 + 0.5r = 2 + 0.25r + -0.25r

Combine like terms: 0.25r + -0.25r = 0.00
-1 + 0.5r = 2 + 0.00
-1 + 0.5r = 2

Add '1' to each side of the equation.
-1 + 1 + 0.5r = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 0.5r = 2 + 1
0.5r = 2 + 1

Combine like terms: 2 + 1 = 3
0.5r = 3

Divide each side by '0.5'.
r = 6

Simplifying
r = 6