Solve for n in the equation 2n/3 = 12.

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Multiple Choice

Solve for n in the equation 2n/3 = 12.

Explanation:
To solve the equation \( \frac{2n}{3} = 12 \), the first step is to eliminate the fraction by multiplying both sides of the equation by 3. This gives us: \[ 2n = 12 \times 3 \] Calculating the right side: \[ 2n = 36 \] Next, to isolate \( n \), divide both sides by 2: \[ n = \frac{36}{2} \] This simplifies to: \[ n = 18 \] Thus, the solution to the equation is \( n = 18 \). This means option C is correct, as it correctly represents the value of \( n \) that satisfies the original equation.

To solve the equation ( \frac{2n}{3} = 12 ), the first step is to eliminate the fraction by multiplying both sides of the equation by 3. This gives us:

[ 2n = 12 \times 3 ]

Calculating the right side:

[ 2n = 36 ]

Next, to isolate ( n ), divide both sides by 2:

[ n = \frac{36}{2} ]

This simplifies to:

[ n = 18 ]

Thus, the solution to the equation is ( n = 18 ). This means option C is correct, as it correctly represents the value of ( n ) that satisfies the original equation.

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