(100)0.3r-0.25=1.4(100)

Solution for (100)0.3r-0.25=1.4(100) equation:

Simplifying
(100) * 0.3r + -0.25 = 1.4(100)

Multiply 100 * 0.3
30r + -0.25 = 1.4(100)

Reorder the terms:
-0.25 + 30r = 1.4(100)

Multiply 1.4 * 100
-0.25 + 30r = 140

Solving
-0.25 + 30r = 140

Solving for variable 'r'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + 30r = 140 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 30r = 140 + 0.25
30r = 140 + 0.25

Combine like terms: 140 + 0.25 = 140.25
30r = 140.25

Divide each side by '30'.
r = 4.675

Simplifying
r = 4.675