25(4f-3)=0.05(10f-9)

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Solution for 25(4f-3)=0.05(10f-9) equation:


Simplifying
25(4f + -3) = 0.05(10f + -9)

Reorder the terms:
25(-3 + 4f) = 0.05(10f + -9)
(-3 * 25 + 4f * 25) = 0.05(10f + -9)
(-75 + 100f) = 0.05(10f + -9)

Reorder the terms:
-75 + 100f = 0.05(-9 + 10f)
-75 + 100f = (-9 * 0.05 + 10f * 0.05)
-75 + 100f = (-0.45 + 0.5f)

Solving
-75 + 100f = -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.
-75 + 100f + -0.5f = -0.45 + 0.5f + -0.5f

Combine like terms: 100f + -0.5f = 99.5f
-75 + 99.5f = -0.45 + 0.5f + -0.5f

Combine like terms: 0.5f + -0.5f = 0.0
-75 + 99.5f = -0.45 + 0.0
-75 + 99.5f = -0.45

Add '75' to each side of the equation.
-75 + 75 + 99.5f = -0.45 + 75

Combine like terms: -75 + 75 = 0
0 + 99.5f = -0.45 + 75
99.5f = -0.45 + 75

Combine like terms: -0.45 + 75 = 74.55
99.5f = 74.55

Divide each side by '99.5'.
f = 0.7492462312

Simplifying
f = 0.7492462312

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