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

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

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

Reorder the terms:
0.2f + 0.6(20 + f) = -8t + 0.4f
0.2f + (20 * 0.6 + f * 0.6) = -8t + 0.4f
0.2f + (12 + 0.6f) = -8t + 0.4f

Reorder the terms:
12 + 0.2f + 0.6f = -8t + 0.4f

Combine like terms: 0.2f + 0.6f = 0.8f
12 + 0.8f = -8t + 0.4f

Reorder the terms:
12 + 0.8f = 0.4f + -8t

Solving
12 + 0.8f = 0.4f + -8t

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.
12 + 0.8f + -0.4f = 0.4f + -0.4f + -8t

Combine like terms: 0.8f + -0.4f = 0.4f
12 + 0.4f = 0.4f + -0.4f + -8t

Combine like terms: 0.4f + -0.4f = 0.0
12 + 0.4f = 0.0 + -8t
12 + 0.4f = -8t

Add '-12' to each side of the equation.
12 + -12 + 0.4f = -12 + -8t

Combine like terms: 12 + -12 = 0
0 + 0.4f = -12 + -8t
0.4f = -12 + -8t

Divide each side by '0.4'.
f = -30 + -20t

Simplifying
f = -30 + -20t