8.3(2f+4)=2(3f-6)

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Solution for 8.3(2f+4)=2(3f-6) equation: 


Simplifying
8.3(2f + 4) = 2(3f + -6)

Reorder the terms:
8.3(4 + 2f) = 2(3f + -6)
(4 * 8.3 + 2f * 8.3) = 2(3f + -6)
(33.2 + 16.6f) = 2(3f + -6)

Reorder the terms:
33.2 + 16.6f = 2(-6 + 3f)
33.2 + 16.6f = (-6 * 2 + 3f * 2)
33.2 + 16.6f = (-12 + 6f)

Solving
33.2 + 16.6f = -12 + 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.
33.2 + 16.6f + -6f = -12 + 6f + -6f

Combine like terms: 16.6f + -6f = 10.6f
33.2 + 10.6f = -12 + 6f + -6f

Combine like terms: 6f + -6f = 0
33.2 + 10.6f = -12 + 0
33.2 + 10.6f = -12

Add '-33.2' to each side of the equation.
33.2 + -33.2 + 10.6f = -12 + -33.2

Combine like terms: 33.2 + -33.2 = 0.0
0.0 + 10.6f = -12 + -33.2
10.6f = -12 + -33.2

Combine like terms: -12 + -33.2 = -45.2
10.6f = -45.2

Divide each side by '10.6'.
f = -4.264150943

Simplifying
f = -4.264150943

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