To simplify the expression \( 7 + 7(9u + 7) \), follow these steps:
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Distribute the \( 7 \) across the terms inside the parentheses: \[ 7(9u + 7) = 7 \cdot 9u + 7 \cdot 7 = 63u + 49 \]
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Now substitute this back into the expression: \[ 7 + 7(9u + 7) = 7 + 63u + 49 \]
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Combine the constant terms \( 7 + 49 \): \[ 7 + 49 = 56 \]
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Therefore, the simplified expression is: \[ 63u + 56 \]
So the final result is: \[ \boxed{63u + 56} \]