To solve the equation \(-2 + 34j + 12j = 2j\), we first combine like terms on the left side.
The left side becomes:
\[ 34j + 12j = 46j \]
Now substitute this back into the equation:
\[ -2 + 46j = 2j \]
Next, we want to isolate the \(j\) terms on one side. We can do this by subtracting \(2j\) from both sides:
\[ -2 + 46j - 2j = 0 \]
This simplifies to:
\[ -2 + 44j = 0 \]
Now, add \(2\) to both sides:
\[ 44j = 2 \]
Finally, divide both sides by \(44\) to solve for \(j\):
\[ j = \frac{2}{44} = \frac{1}{22} \]
Thus, the solution for \(j\) is:
\[ \boxed{\frac{1}{22}} \]
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