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

q=h^(2)(b-n)
Answer:
b=

Solve the following equation for $b$ . Be sure to take into account whether a letter is capitalized or not. $\newline$ $q=h^{2}(b-n)$ $\newline$ Answer: $b=$

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Write and solve direct variation equations

Full solution

Q. Solve the following equation for

b

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

\newline

q=h^{2}(b-n)

\newline

Answer:

b=

Isolate term with b: Isolate the term containing b. $\newline$ To solve for b, we need to isolate it on one side of the equation. We start by dividing both sides of the equation by $h^2$ to get rid of the $h^2$ term on the right side. $\newline$ $q = h^2(b - n)$ $\newline$ Divide both sides by $h^2$ : $\newline$ $q / h^2 = (h^2(b - n)) / h^2$
Divide and simplify: Simplify the equation. $\newline$ After dividing both sides by $h^2$ , the $h^2$ terms on the right side cancel out, leaving us with: $\newline$ $\frac{q}{h^2} = b - n$
Solve for b: Solve for b. $\newline$ To solve for b, we need to get b by itself. We do this by adding $n$ to both sides of the equation: $\newline$ $\left(\frac{q}{h^2}\right) + n = b - n + n$
Final equation: Simplify the equation further. $\newline$ After adding $n$ to both sides, the $-n$ and $+n$ on the right side cancel each other out, leaving us with the final equation for $b$ : $\newline$ $b = (q / h^2) + n$

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