Final answer:
To make a the subject of the equation W=3(2a+b)-4, one must perform a series of algebraic manipulations involving adding, dividing, and subtracting terms involving W, b, and numerical constants to isolate a.
Step-by-step explanation:
To make a the subject of the equation W=3(2a+b)-4, we will rearrange the equation step by step as follows:
- Add 4 to both sides of the equation to isolate the term containing a on one side: W + 4 = 3(2a + b).
- Divide both sides of the equation by 3 to further isolate the term containing a: (W + 4) / 3 = 2a + b.
- Subtract b from both sides to solve for a: (W + 4) / 3 - b = 2a.
- Finally, divide both sides by 2 to solve for a: a = [(W + 4) / 3 - b] / 2.
This gives us the rearranged equation with a as the subject.