Question

Question

Rewrite in simplest terms: 6(d-6f) - 6f-3(-7f+8d)
Answer Attempt 2 out of 2
-18d-36f 15f
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Answer 1

To simplify the expression 6(d-6f) - 6f-3(-7f+8d), distribute and combine like terms to get -12d - 63f.

Step-by-step explanation:

To simplify the expression 6(d-6f) - 6f-3(-7f+8d), we follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). First, we simplify the expressions inside the parentheses:

• Inside the parentheses, d-6f cannot be simplified further.
• Inside the parentheses, -7f+8d cannot be simplified further.

Next, we distribute the 6 and the -3:

• 6(d-6f) becomes 6d-36f
• -3(-7f+8d) becomes 21f-24d

Finally, we combine like terms:

• 6d - 36f - 6f - 21f + 24d = -12d - 63f

So, the expression simplifies to -12d - 63f.

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