Questions: Solve the following equation for (b). Be sure to take into account whether a letter is capitalized or not. [ (d-8) b=g ]

Solution Steps

To solve the equation \((d-8) b = g\) for \(b\), we need to isolate \(b\) on one side of the equation. This can be done by dividing both sides of the equation by \((d-8)\), assuming \(d \neq 8\) to avoid division by zero.

Given the equation \((d-8) b = g\), we need to solve for \(b\). To do this, divide both sides of the equation by \((d-8)\), assuming \(d \neq 8\) to avoid division by zero:

\[ b = \frac{g}{d-8} \]

Substitute the given values \(d = 10\) and \(g = 20\) into the equation:

\[ b = \frac{20}{10-8} \]

Calculate the denominator and simplify the expression:

\[ b = \frac{20}{2} = 10.0 \]

Final Answer