What is the answer to this answer of this question: 3.1 (2f+1.2) = 0.2 (f-6) ? I need it fast!

8-10 minutes tops!

Simplifying

3.1 (2f + 1.2) = 0.2 (f + - 6)

Reorder the terms:

3.1 (1.2 + 2f) = 0.2 (f + - 6)

(1.2 * 3.1 + 2f * 3.1) = 0.2 (f + - 6)

(3.72 + 6.2f) = 0.2 (f + - 6)

Reorder the terms:

3.72 + 6.2f = 0.2 (-6 + f)

3.72 + 6.2f = (-6 * 0.2 + f * 0.2)

3.72 + 6.2f = (-1.2 + 0.2f)

Solving

3.72 + 6.2f = - 1.2 + 0.2f

Solving for variable 'f'.

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

Add '-0.2f' to each side of the equation.

3.72 + 6.2f + - 0.2f = - 1.2 + 0.2f + - 0.2f

Combine like terms: 6.2f + - 0.2f = 6f

3.72 + 6f = - 1.2 + 0.2f + - 0.2f

Combine like terms: 0.2f + - 0.2f = 0.0

3.72 + 6f = - 1.2 + 0.0

3.72 + 6f = - 1.2

Add '-3.72' to each side of the equation.

3.72 + - 3.72 + 6f = - 1.2 + - 3.72

Combine like terms: 3.72 + - 3.72 = 0.00

0.00 + 6f = - 1.2 + - 3.72

6f = - 1.2 + - 3.72

Combine like terms: - 1.2 + - 3.72 = - 4.92

6f = - 4.92

Divide each side by '6'.

f = - 0.82

Simplifying

f = - 0.82