Consider the following equation. 12w - 27 = -34 + 14w select the equation that has the same solution as the given equation above. a. -2w + 21 = -8w + 36 b. -5/6w + 2 = 13/3 - 1/6 w c. -47 - 10w = -9w - 40 - 3w d. 9/7w = 13/14w + 2

The answer is C

12w - 27 = -34 +14w

-2w = -7

w = 7/2

-47 - 10w = -9w -40 - 3w

-47 - 10w = -12w - 40

-7 = -2w

w = 7/2

Option C is the correct answer.

Step-by-step explanation:

The equation is given as :

Solving this by pairing the like terms together,

This gives

Now, we will solve all the equations to check which is same as the above.

A.

=>

=>

=>

This is the wrong option.

B.

=>

=>

=>

=>

=>

This is the wrong option.

C.

=>

=>

=>

This is the right option.

D.

=>

=>

=>

=>

Dividing by 7, we get

=>

This is the wrong option.

Therefore, option C is the correct answer.

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step-by-step explanation:

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