To simplify the expression \( 17d - 33 + 9(2d + 6) - 11 \), follow these steps:
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Distribute \( 9 \) into the parentheses: \[ 9(2d + 6) = 18d + 54 \]
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Substitute this back into the expression: \[ 17d - 33 + 18d + 54 - 11 \]
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Combine like terms:
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Combine the \( d \) terms: \[ 17d + 18d = 35d \]
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Combine the constant terms: \[ -33 + 54 - 11 = -33 + 54 = 21 \ 21 - 11 = 10 \]
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Put it all together: \[ 35d + 10 \]
Thus, the simplified expression is: \[ \boxed{35d + 10} \]