To solve the equation \( 6b + 6 = 48 \), we can follow these steps:
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Subtract 6 from both sides of the equation: \[ 6b + 6 - 6 = 48 - 6 \] This simplifies to: \[ 6b = 42 \]
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Now, divide both sides of the equation by 6: \[ b = \frac{42}{6} \] This simplifies to: \[ b = 7 \]
Thus, the value of \( b \) is \( \boxed{7} \).