Simplify 17d−33+9(2d+6)−11
To simplify the expression 17d - 33 + 9(2d + 6) - 11, you can follow these steps:
Step 1: Simplify inside the parentheses:
2d + 6 = 2d + 6
Step 2: Distribute the 9 to the terms inside the parentheses:
9(2d + 6) = 18d + 54
Now the expression becomes 17d - 33 + 18d + 54 - 11.
Step 3: Combine like terms:
(17d + 18d) - 33 + 54 - 11 = 35d + 10
Therefore, the simplified expression is 35d + 10.
To simplify the expression 17d - 33 + 9(2d + 6) - 11, we can follow the order of operations, also known as PEMDAS ( Parentheses, Exponents, Multiplication & Division, and Addition & Subtraction).
Step 1: Simplify the parentheses:
Inside the parentheses, we have 2d + 6. We can distribute the 9 to each term:
9 * 2d + 9 * 6
This simplifies to:
18d + 54
So now our expression becomes:
17d - 33 + 18d + 54 - 11
Step 2: Combine like terms:
Combine the terms with 'd' together:
17d + 18d = 35d
Combine the constants (numbers without variables) together:
-33 + 54 - 11 = 10
So our simplified expression becomes:
35d + 10
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.