Simplify 17d−33+9(2d+6)−11

Answer 1

To simplify the expression 17d−33+9(2d+6)−11, we can start by using the distributive property.

The distributive property states that for any real numbers a, b, and c, a(b + c) = ab + ac.

Using this property, we can simplify 9(2d+6) as follows:

9(2d+6) = 9(2d) + 9(6) = 18d + 54.

Now, we can substitute this simplified expression back into the original expression:

17d−33+18d+54−11.

Combining like terms, we have:

(17d + 18d) + (−33 + 54) − 11 = 35d + 21.

Therefore, the simplified expression is 35d + 21.