Simplify 17d−33+9(2d+6)−11

Answer 1

To simplify the expression \( 17d - 33 + 9(2d + 6) - 11 \), we can follow these steps:

1. Distribute the \(9\) across the terms in the parentheses: \[ 9(2d + 6) = 9 \cdot 2d + 9 \cdot 6 = 18d + 54 \]

2. Substitute this back into the original expression: \[ 17d - 33 + 18d + 54 - 11 \]

3. Combine like terms. First, combine the \(d\) terms: \[ 17d + 18d = 35d \]

4. Now combine the constant terms \(-33 + 54 - 11\): \[ -33 + 54 = 21 \] \[ 21 - 11 = 10 \]

5. Putting it all together, we have: \[ 35d + 10 \]

Thus, the simplified expression is: \[ \boxed{35d + 10} \]