Simplify 17d−33+9(2d+6)−11

Question

17
𝑑
−
33
+
9
(
2
𝑑
+
6
)
−
11
.(1 point) ......

Answer 1

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

1. Distribute the \( 9 \) into the parentheses: \[ 9(2d + 6) = 9 \times 2d + 9 \times 6 = 18d + 54 \]

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

3. Combine like terms:

   • Combine the \( d \) terms: \( 17d + 18d = 35d \)
   • Combine the constant terms: \( -33 + 54 - 11 = 10 \)

4. Put it all together: \[ 35d + 10 \]

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