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0.25[4f-3]=0.05[10f-9]
0.25(4f + -3) = 0.05(10f + -9)

Reorder the terms:
0.25(-3 + 4f) = 0.05(10f + -9)
(-3 * 0.25 + 4f * 0.25) = 0.05(10f + -9)
(-0.75 + 1f) = 0.05(10f + -9)

Reorder the terms:
-0.75 + 1f = 0.05(-9 + 10f)
-0.75 + 1f = (-9 * 0.05 + 10f * 0.05)
-0.75 + 1f = (-0.45 + 0.5f)

Solving
-0.75 + 1f = -0.45 + 0.5f

Solving for variable 'f'.

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

Add '-0.5f' to each side of the equation.
-0.75 + 1f + -0.5f = -0.45 + 0.5f + -0.5f

Combine like terms: 1f + -0.5f = 0.5f
-0.75 + 0.5f = -0.45 + 0.5f + -0.5f

Combine like terms: 0.5f + -0.5f = 0.0
-0.75 + 0.5f = -0.45 + 0.0
-0.75 + 0.5f = -0.45

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 0.5f = -0.45 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 0.5f = -0.45 + 0.75
0.5f = -0.45 + 0.75

Combine like terms: -0.45 + 0.75 = 0.3
0.5f = 0.3

Divide each side by '0.5'.
f = 0.6

Simplifying
f = 0.6


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