-2(g+5g)+-4(8f-(-12g))=a

Solution for -2(g+5g)+-4(8f-(-12g))=a equation:

Simplifying
-2(g + 5g) + -4(8f + -1(-12g)) = a

Combine like terms: g + 5g = 6g
-2(6g) + -4(8f + -1(-12g)) = a

Remove parenthesis around (6g)
-2 * 6g + -4(8f + -1(-12g)) = a

Multiply -2 * 6
-12g + -4(8f + -1(-12g)) = a

Remove parenthesis around (-12g)
-12g + -4(8f + -1 * -12g) = a

Multiply -1 * -12
-12g + -4(8f + 12g) = a
-12g + (8f * -4 + 12g * -4) = a
-12g + (-32f + -48g) = a

Reorder the terms:
-32f + -12g + -48g = a

Combine like terms: -12g + -48g = -60g
-32f + -60g = a

Solving
-32f + -60g = a

Solving for variable 'f'.

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

Add '60g' to each side of the equation.
-32f + -60g + 60g = a + 60g

Combine like terms: -60g + 60g = 0
-32f + 0 = a + 60g
-32f = a + 60g

Divide each side by '-32'.
f = -0.03125a + -1.875g

Simplifying
f = -0.03125a + -1.875g