7. Solve for b in the following equation: A=12(a+b)

(1 point)
Responses

b=2A+a
b is equal to 2 cap A plus A

b=12A−a
b is equal to 1 half cap A minus A

b=12A+a
b is equal to 1 half cap A plus A

b=2A−a

b is equal to 2 times A minus a

To solve for b in the equation A=12(a+b), we can follow these steps:

1. Start with the given equation: A = 12(a + b).
2. Expand the parentheses by multiplying 12 with both terms inside: A = 12a + 12b.
3. Move the term with b to one side of the equation by subtracting 12a from both sides: A - 12a = 12b.
4. Simplify the left side of the equation: A - 12a = b.
5. Therefore, b is equal to A - 12a.

So, the correct answer is b = A - 12a.