Question

Simplify the following expression by combining like terms. Select the most simplified expression:
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A
5w5w5w
B
11w−611w-611w−6
C
7w−27w-27w−2
D
7w−6+4w7w-6+4w7w−6+4w

Answer 1

Let's simplify each option to determine which one is the most simplified expression.

**Option A:**
5w * 5w * 5w = 125w^3 (This expression is not in the terms of just combining like terms.)

**Option B:**
11w - 6 + 11w - 6 + 11w - 6
= (11w + 11w + 11w) + (-6 - 6 - 6)
= 33w - 18

**Option C:**
7w - 2 + 7w - 2
= (7w + 7w) + (-2 - 2)
= 14w - 4

**Option D:**
7w - 6 + 4w
= (7w + 4w) - 6
= 11w - 6

Now let's summarize the simplified expressions:

- A: 125w^3 (not combining like terms)
- B: 33w - 18
- C: 14w - 4
- D: 11w - 6

When comparing the options, in terms of being simplified correctly, we focus on B, C, and D.

The most simplified expression without any numeric coefficients on w's would therefore likely be interpreted as **D: 11w - 6** as it combines like terms correctly.

Thus, among the given options, the most simplified expression is:

**D: 11w - 6**