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

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

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

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

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

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

Solving
-2.35 + 9.4f = 40.2

Solving for variable 'f'.

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

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

Combine like terms: -2.35 + 2.35 = 0.00
0.00 + 9.4f = 40.2 + 2.35
9.4f = 40.2 + 2.35

Combine like terms: 40.2 + 2.35 = 42.55
9.4f = 42.55

Divide each side by '9.4'.
f = 4.526595745

Simplifying
f = 4.526595745