SA=2(4h*2f)+2(4h*3g)+2(3g*2f)

Solution for SA=2(4h*2f)+2(4h*3g)+2(3g*2f) equation:

Simplifying
SA = 2(4h * 2f) + 2(4h * 3g) + 2(3g * 2f)

Reorder the terms for easier multiplication:
AS = 2(4 * 2h * f) + 2(4h * 3g) + 2(3g * 2f)

Multiply 4 * 2
AS = 2(8h * f) + 2(4h * 3g) + 2(3g * 2f)

Multiply h * f
AS = 2(8fh) + 2(4h * 3g) + 2(3g * 2f)

Remove parenthesis around (8fh)
AS = 2 * 8fh + 2(4h * 3g) + 2(3g * 2f)

Multiply 2 * 8
AS = 16fh + 2(4h * 3g) + 2(3g * 2f)

Reorder the terms for easier multiplication:
AS = 16fh + 2(4 * 3h * g) + 2(3g * 2f)

Multiply 4 * 3
AS = 16fh + 2(12h * g) + 2(3g * 2f)

Multiply h * g
AS = 16fh + 2(12gh) + 2(3g * 2f)

Remove parenthesis around (12gh)
AS = 16fh + 2 * 12gh + 2(3g * 2f)

Multiply 2 * 12
AS = 16fh + 24gh + 2(3g * 2f)

Reorder the terms for easier multiplication:
AS = 16fh + 24gh + 2(3 * 2g * f)

Multiply 3 * 2
AS = 16fh + 24gh + 2(6g * f)

Multiply g * f
AS = 16fh + 24gh + 2(6fg)

Remove parenthesis around (6fg)
AS = 16fh + 24gh + 2 * 6fg

Multiply 2 * 6
AS = 16fh + 24gh + 12fg

Reorder the terms:
AS = 12fg + 16fh + 24gh

Solving
AS = 12fg + 16fh + 24gh

Solving for variable 'A'.

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

Divide each side by 'S'.
A = 12fgS-1 + 16fhS-1 + 24ghS-1

Simplifying
A = 12fgS-1 + 16fhS-1 + 24ghS-1