0.25(4f-3)=0.005(10f-9)

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Solution for 0.25(4f-3)=0.005(10f-9) equation: 


Simplifying
0.25(4f + -3) = 0.005(10f + -9)

Reorder the terms:
0.25(-3 + 4f) = 0.005(10f + -9)
(-3 * 0.25 + 4f * 0.25) = 0.005(10f + -9)
(-0.75 + 1f) = 0.005(10f + -9)

Reorder the terms:
-0.75 + 1f = 0.005(-9 + 10f)
-0.75 + 1f = (-9 * 0.005 + 10f * 0.005)
-0.75 + 1f = (-0.045 + 0.05f)

Solving
-0.75 + 1f = -0.045 + 0.05f

Solving for variable 'f'.

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

Add '-0.05f' to each side of the equation.
-0.75 + 1f + -0.05f = -0.045 + 0.05f + -0.05f

Combine like terms: 1f + -0.05f = 0.95f
-0.75 + 0.95f = -0.045 + 0.05f + -0.05f

Combine like terms: 0.05f + -0.05f = 0.00
-0.75 + 0.95f = -0.045 + 0.00
-0.75 + 0.95f = -0.045

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 0.95f = -0.045 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 0.95f = -0.045 + 0.75
0.95f = -0.045 + 0.75

Combine like terms: -0.045 + 0.75 = 0.705
0.95f = 0.705

Divide each side by '0.95'.
f = 0.7421052632

Simplifying
f = 0.7421052632

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