2r(.75)=100-r(1.25)

Solution for 2r(.75)=100-r(1.25) equation:

Simplifying
2r(0.75) = 100 + -1r(1.25)

Reorder the terms for easier multiplication:
2 * 0.75r = 100 + -1r(1.25)

Multiply 2 * 0.75
1.5r = 100 + -1r(1.25)

Reorder the terms for easier multiplication:
1.5r = 100 + -1 * 1.25r

Multiply -1 * 1.25
1.5r = 100 + -1.25r

Solving
1.5r = 100 + -1.25r

Solving for variable 'r'.

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

Add '1.25r' to each side of the equation.
1.5r + 1.25r = 100 + -1.25r + 1.25r

Combine like terms: 1.5r + 1.25r = 2.75r
2.75r = 100 + -1.25r + 1.25r

Combine like terms: -1.25r + 1.25r = 0.00
2.75r = 100 + 0.00
2.75r = 100

Divide each side by '2.75'.
r = 36.36363636

Simplifying
r = 36.36363636