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 = -9.9f
-2.35 + 9.4f = -6(-9.9f)

Remove parenthesis around (-9.9f)
-2.35 + 9.4f = -6 * -9.9f

Multiply -6 * -9.9
-2.35 + 9.4f = 59.4f

Solving
-2.35 + 9.4f = 59.4f

Solving for variable 'f'.

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

Add '-59.4f' to each side of the equation.
-2.35 + 9.4f + -59.4f = 59.4f + -59.4f

Combine like terms: 9.4f + -59.4f = -50f
-2.35 + -50f = 59.4f + -59.4f

Combine like terms: 59.4f + -59.4f = 0.0
-2.35 + -50f = 0.0

Add '2.35' to each side of the equation.
-2.35 + 2.35 + -50f = 0.0 + 2.35

Combine like terms: -2.35 + 2.35 = 0.00
0.00 + -50f = 0.0 + 2.35
-50f = 0.0 + 2.35

Combine like terms: 0.0 + 2.35 = 2.35
-50f = 2.35

Divide each side by '-50'.
f = -0.047

Simplifying
f = -0.047