Simplify and solve the following linear equations:

0.25(4f – 3) = 0.05(10f – 9)

Explanation:

The given equation is:

0.25(4f – 3) = 0.05(10f – 9)

On the left-hand side:

0.25(4f - 3) = 0.25 × 4f - 0.25 × 3 = f - 0.75

On the right-hand side:

0.05(10f - 9) = 0.05 × 10f - 0.05 × 9 = 0.5f - 0.45

So the equation becomes:

f - 0.75 = 0.5f - 0.45 f - 0.5f = -0.45 + 0.75

Simplifying both sides:

0.5f = 0.3

f = 0.3 / 0.5 = 0.6

Final Answer: f = 0.6