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Solve the equation for A=(h(a+b))/(2), for a.

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Final answer:

To solve the equation A=(h(a+b))/(2) for a, multiply both sides by 2 to eliminate the denominator. Then, isolate the term that contains a by subtracting hb from both sides. Finally, divide both sides by h to solve for a.

Step-by-step explanation:

To solve the equation A=(h(a+b))/(2) for a, we can start by multiplying both sides of the equation by 2 to eliminate the denominator. This gives us 2A = h(a+b).

Next, distribute the h to both terms inside the parentheses to get 2A = ha + hb.

Now, isolate the term that contains a by subtracting hb from both sides of the equation: 2A - hb = ha.

Finally, divide both sides of the equation by h to solve for a: a = (2A - hb)/h.

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