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Solve the following equation for
b. Be sure to take into account whether a letter is capitalized or not.

fb-hb=D
Answer:
b=

Solve the following equation for $b$ . Be sure to take into account whether a letter is capitalized or not. $\newline$ $f b-h b=D$ $\newline$ Answer: $b=$

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Write a linear function: word problems

Full solution

Q. Solve the following equation for

b

. Be sure to take into account whether a letter is capitalized or not.

\newline

f b-h b=D

\newline

Answer:

b=

Identify Variable Terms: Identify the terms in the equation that contain the variable $b$ . In the equation $fb - hb = D$ , both $fb$ and $hb$ contain the variable $b$ .
Factor Out Common Factor: Factor out $b$ from the terms $fb$ and $hb$ . We can factor $b$ out as a common factor from both terms to get $b(f - h) = D$ .
Solve for b: Solve for b by dividing both sides of the equation by $(f - h)$ . $\newline$ To isolate $b$ , we divide both sides by $(f - h)$ , which gives us $b = \frac{D}{(f - h)}$ .
Check for Division Error: Check for any potential division by zero error. $\newline$ We must ensure that $f - h$ is not equal to zero, as division by zero is undefined. If $f - h = 0$ , the equation has no solution for $b$ .

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