30.5=-9.5+6(f-8)

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Solution for 30.5=-9.5+6(f-8) equation: 


Simplifying
30.5 = -9.5 + 6(f + -8)

Reorder the terms:
30.5 = -9.5 + 6(-8 + f)
30.5 = -9.5 + (-8 * 6 + f * 6)
30.5 = -9.5 + (-48 + 6f)

Combine like terms: -9.5 + -48 = -57.5
30.5 = -57.5 + 6f

Solving
30.5 = -57.5 + 6f

Solving for variable 'f'.

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

Add '-6f' to each side of the equation.
30.5 + -6f = -57.5 + 6f + -6f

Combine like terms: 6f + -6f = 0
30.5 + -6f = -57.5 + 0
30.5 + -6f = -57.5

Add '-30.5' to each side of the equation.
30.5 + -30.5 + -6f = -57.5 + -30.5

Combine like terms: 30.5 + -30.5 = 0.0
0.0 + -6f = -57.5 + -30.5
-6f = -57.5 + -30.5

Combine like terms: -57.5 + -30.5 = -88
-6f = -88

Divide each side by '-6'.
f = 14.66666667

Simplifying
f = 14.66666667

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