(4.7)(2f-0.5)=(-6)(1.6f-8.3f)

Solution for (4.7)(2f-0.5)=(-6)(1.6f-8.3f) equation:

Simplifying
(4.7)(2f + -0.5) = (-6)(1.6f + -8.3f)

Reorder the terms:
4.7(-0.5 + 2f) = (-6)(1.6f + -8.3f)
(-0.5 * 4.7 + 2f * 4.7) = (-6)(1.6f + -8.3f)
(-2.35 + 9.4f) = (-6)(1.6f + -8.3f)

Combine like terms: 1.6f + -8.3f = -6.7f
-2.35 + 9.4f = -6(-6.7f)

Remove parenthesis around (-6.7f)
-2.35 + 9.4f = -6 * -6.7f

Multiply -6 * -6.7
-2.35 + 9.4f = 40.2f

Solving
-2.35 + 9.4f = 40.2f

Solving for variable 'f'.

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

Add '-40.2f' to each side of the equation.
-2.35 + 9.4f + -40.2f = 40.2f + -40.2f

Combine like terms: 9.4f + -40.2f = -30.8f
-2.35 + -30.8f = 40.2f + -40.2f

Combine like terms: 40.2f + -40.2f = 0.0
-2.35 + -30.8f = 0.0

Add '2.35' to each side of the equation.
-2.35 + 2.35 + -30.8f = 0.0 + 2.35

Combine like terms: -2.35 + 2.35 = 0.00
0.00 + -30.8f = 0.0 + 2.35
-30.8f = 0.0 + 2.35

Combine like terms: 0.0 + 2.35 = 2.35
-30.8f = 2.35

Divide each side by '-30.8'.
f = -0.0762987013

Simplifying
f = -0.0762987013