-24.5-8.5f=6.5(7.5f+3)

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Solution for -24.5-8.5f=6.5(7.5f+3) equation: 


Simplifying
-24.5 + -8.5f = 6.5(7.5f + 3)

Reorder the terms:
-24.5 + -8.5f = 6.5(3 + 7.5f)
-24.5 + -8.5f = (3 * 6.5 + 7.5f * 6.5)
-24.5 + -8.5f = (19.5 + 48.75f)

Solving
-24.5 + -8.5f = 19.5 + 48.75f

Solving for variable 'f'.

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

Add '-48.75f' to each side of the equation.
-24.5 + -8.5f + -48.75f = 19.5 + 48.75f + -48.75f

Combine like terms: -8.5f + -48.75f = -57.25f
-24.5 + -57.25f = 19.5 + 48.75f + -48.75f

Combine like terms: 48.75f + -48.75f = 0.00
-24.5 + -57.25f = 19.5 + 0.00
-24.5 + -57.25f = 19.5

Add '24.5' to each side of the equation.
-24.5 + 24.5 + -57.25f = 19.5 + 24.5

Combine like terms: -24.5 + 24.5 = 0.0
0.0 + -57.25f = 19.5 + 24.5
-57.25f = 19.5 + 24.5

Combine like terms: 19.5 + 24.5 = 44
-57.25f = 44

Divide each side by '-57.25'.
f = -0.768558952

Simplifying
f = -0.768558952

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