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solve the following equation for b. be sure to take into account whethe…

Question

solve the following equation for b. be sure to take into account whether a letter is capitalized or not.
$d - 4g = \frac{1}{4}b$

Explanation:

Step1: Multiply both sides by 4

To isolate \( b \), we multiply both sides of the equation \( D - 4G=\frac{1}{4}b \) by 4. This gives us \( 4(D - 4G)=4\times\frac{1}{4}b \).

Step2: Simplify both sides

Simplifying the left side using the distributive property \( 4\times D-4\times4G \) and the right side \( 4\times\frac{1}{4}b = b \), we get \( 4D - 16G=b \).

Answer:

\( b = 4D - 16G \)