Answer(s):
- Part-1: B and C
- Part-2: C and E
Verification:
Part-1:
Let's simplify the expression.
- => 4(w + 3) - 2
- => 4w + 12 - 2
- => 4w + 10
We got the result, which is 4w + 10. Now, let's see which expressions are equal to 4w + 10.
Option A
- 4w + 3 - 2 = 4w + 10
- => 3 - 2 = 10
- => 1 ≠ 10 (Incorrect)
Option B
- 4w + 12 - 2 = 4w + 10
- => 12 - 2 = 10
- => 10 = 10 (Correct)
Option C
- 4w + 10 = 4w + 10
- => 0 = 0 (Correct)
Option D
- 14w = 4w + 10
- => 10w ≠ 10 (Incorrect)
Option E
- 4w + 12 - 8 = 4w + 10
- => 12 - 8 = 10
- => 4 ≠ 10 (Incorrect)
Option F
- 4w + 4 = 4w + 10
- => 4 ≠ 10 (Incorrect)
Hence, Option B and C are correct.
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Part-2:
Let's simplify the expression.
- 3(2n + 3) + 9
- => 6n + 9 + 9
- => 6n + 18
Now, let's verify all options to see which are correct.
Option A
- 15n + 9 = 6n + 18
- => 9n ≠ 9 (Incorrect)
Option B
- 6n + 3 + 9 = 6n + 18
- => 6n + 12 = 6n + 18
- => 12 ≠ 18 (Incorrect)
Option C
- 6n + 18 = 6n + 18
- => 0 = 0 (Correct)
Option D
- 6n + 6 + 9 = 6n + 18
- => 6n + 15 = 6n + 18
- => 15 ≠ 18 (Incorrect)
Option E
- 6n + 27 - 9 = 6n + 18
- => 6n + 18 = 6n + 18
- => 0 = 0 (Correct)
Option F
- 3(5n) + 9 = 6n + 18
- => 15n + 9 = 6n + 18
- => 9n ≠ 9 (Incorrect)
Hence, the answers are Option C and E.
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Hoped this helped.
[tex]BrainiacUser1357[/tex]
