18.1f=-12.1f-6(15.6f-6.19)

Solution for 18.1f=-12.1f-6(15.6f-6.19) equation:

Simplifying
18.1f = -12.1f + -6(15.6f + -6.19)

Reorder the terms:
18.1f = -12.1f + -6(-6.19 + 15.6f)
18.1f = -12.1f + (-6.19 * -6 + 15.6f * -6)
18.1f = -12.1f + (37.14 + -93.6f)

Reorder the terms:
18.1f = 37.14 + -12.1f + -93.6f

Combine like terms: -12.1f + -93.6f = -105.7f
18.1f = 37.14 + -105.7f

Solving
18.1f = 37.14 + -105.7f

Solving for variable 'f'.

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

Add '105.7f' to each side of the equation.
18.1f + 105.7f = 37.14 + -105.7f + 105.7f

Combine like terms: 18.1f + 105.7f = 123.8f
123.8f = 37.14 + -105.7f + 105.7f

Combine like terms: -105.7f + 105.7f = 0.0
123.8f = 37.14 + 0.0
123.8f = 37.14

Divide each side by '123.8'.
f = 0.3

Simplifying
f = 0.3