I need one more answer for each PLEASE HELP ME AND SHOW YOUR WORKK

Answer(s):

Part-1: B and CPart-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.