Z=3 (-4-a) / 4 (4n+3p) solve for a

Z = 3 (-4-a) / 4 (4n+3p)

Multiply z by the denominator of the function to start to get things all on one side.

Z (4 (4n+3p) = 3 (-4-a)

Divide by 3 to remove the parentheses from the right side.

4Z (4n+3p) / 3=-4-a

Add four to both sides to remove it from the right.

4Z (4n+3p) + 4/3=-a

Multiply by - 1 to get a all by itself.

-4Z (4n+3p) + 4/3=a