Solve for n.

Question

12n+34n=12



Enter the answer, as a whole number or as a fraction in simplest form, in the box.

Answer 1

To solve the equation \( 12n + 34n = 12 \), we first combine the terms on the left side:

\[ 12n + 34n = 46n \]

Now, the equation becomes:

\[ 46n = 12 \]

Next, we isolate \( n \) by dividing both sides by 46:

\[ n = \frac{12}{46} \]

To simplify the fraction, we can divide the numerator and the denominator by their greatest common divisor, which is 2:

\[ n = \frac{12 \div 2}{46 \div 2} = \frac{6}{23} \]

Thus, the solution is

\[ \boxed{\frac{6}{23}} \]