Let's solve the equation step by step starting from your expression:
\[ 13 - 2(b + 2) = 6b - 7 \]
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Distribute \(-2\) through the parentheses: \[ 13 - 2b - 4 = 6b - 7 \]
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Combine like terms on the left side: \[ 9 - 2b = 6b - 7 \]
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Add \(2b\) to both sides to get all \(b\) terms on one side: \[ 9 = 8b - 7 \]
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Add \(7\) to both sides: \[ 16 = 8b \]
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Divide both sides by \(8\): \[ b = \frac{16}{8} = 2 \]
So, the solution is: \[ b = 2 \]