17d - 33 + 9 (2d + 6 - 11
To simplify the expression, we can use the order of operations (PEMDAS):
17d - 33 + 9(2d + 6 - 11)
First, we simplify the parentheses inside the brackets:
2d + 6 - 11
= 2d - 5
Now, we can substitute this back into the original equation:
17d - 33 + 9(2d - 5)
Next, we simplify the multiplication:
= 17d - 33 + 18d - 45
Combining like terms:
= (17d + 18d) + (-33 - 45)
= 35d - 78
Therefore, the simplified expression is 35d - 78.
To simplify the expression 17d - 33 + 9(2d + 6 - 11), follow these steps:
Step 1: Simplify the parentheses inside the multiplication.
2d + 6 - 11 simplifies to 2d - 5.
Now the expression becomes 17d - 33 + 9(2d - 5).
Step 2: Distribute the 9 to the terms inside the parentheses.
9(2d - 5) simplifies to 18d - 45.
The expression is now 17d - 33 + 18d - 45.
Step 3: Combine like terms.
Combine the d terms: 17d + 18d = 35d.
Combine the constants: -33 - 45 = -78.
The final simplified expression is 35d - 78.
To simplify the given expression, follow the order of operations, which is commonly known as PEMDAS:
P - Parentheses (Simplify expressions inside parentheses first)
E - Exponents (Perform any exponentiation)
MD - Multiplication & Division (Perform multiplication and division from left to right)
AS - Addition & Subtraction (Perform addition and subtraction from left to right)
Let's simplify the expression step by step:
17d - 33 + 9(2d + 6 - 11)
First, let's simplify what is inside the parentheses:
2d + 6 - 11
Combine like terms:
2d - 5
Now, let's use the distributive property to multiply 9 by 2d - 5:
9 * (2d - 5) = 18d - 45
So now, the expression becomes:
17d - 33 + 18d - 45
Now, let's combine like terms:
(17d + 18d) + (-33 - 45)
Combine like terms on either side of the operation:
35d - 78
Therefore, the simplified expression is 35d - 78.