0.2f+0.6+(f+20)=-8+0.4f

Solution for 0.2f+0.6+(f+20)=-8+0.4f equation:

Simplifying
0.2f + 0.6 + (f + 20) = -8 + 0.4f

Reorder the terms:
0.2f + 0.6 + (20 + f) = -8 + 0.4f

Remove parenthesis around (20 + f)
0.2f + 0.6 + 20 + f = -8 + 0.4f

Reorder the terms:
0.6 + 20 + 0.2f + f = -8 + 0.4f

Combine like terms: 0.6 + 20 = 20.6
20.6 + 0.2f + f = -8 + 0.4f

Combine like terms: 0.2f + f = 1.2f
20.6 + 1.2f = -8 + 0.4f

Solving
20.6 + 1.2f = -8 + 0.4f

Solving for variable 'f'.

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

Add '-0.4f' to each side of the equation.
20.6 + 1.2f + -0.4f = -8 + 0.4f + -0.4f

Combine like terms: 1.2f + -0.4f = 0.8f
20.6 + 0.8f = -8 + 0.4f + -0.4f

Combine like terms: 0.4f + -0.4f = 0.0
20.6 + 0.8f = -8 + 0.0
20.6 + 0.8f = -8

Add '-20.6' to each side of the equation.
20.6 + -20.6 + 0.8f = -8 + -20.6

Combine like terms: 20.6 + -20.6 = 0.0
0.0 + 0.8f = -8 + -20.6
0.8f = -8 + -20.6

Combine like terms: -8 + -20.6 = -28.6
0.8f = -28.6

Divide each side by '0.8'.
f = -35.75

Simplifying
f = -35.75