-27.5-5f=-8.5(9.5f-8)

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Solution for -27.5-5f=-8.5(9.5f-8) equation:


Simplifying
-27.5 + -5f = -8.5(9.5f + -8)

Reorder the terms:
-27.5 + -5f = -8.5(-8 + 9.5f)
-27.5 + -5f = (-8 * -8.5 + 9.5f * -8.5)
-27.5 + -5f = (68 + -80.75f)

Solving
-27.5 + -5f = 68 + -80.75f

Solving for variable 'f'.

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

Add '80.75f' to each side of the equation.
-27.5 + -5f + 80.75f = 68 + -80.75f + 80.75f

Combine like terms: -5f + 80.75f = 75.75f
-27.5 + 75.75f = 68 + -80.75f + 80.75f

Combine like terms: -80.75f + 80.75f = 0.00
-27.5 + 75.75f = 68 + 0.00
-27.5 + 75.75f = 68

Add '27.5' to each side of the equation.
-27.5 + 27.5 + 75.75f = 68 + 27.5

Combine like terms: -27.5 + 27.5 = 0.0
0.0 + 75.75f = 68 + 27.5
75.75f = 68 + 27.5

Combine like terms: 68 + 27.5 = 95.5
75.75f = 95.5

Divide each side by '75.75'.
f = 1.260726073

Simplifying
f = 1.260726073

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