34. \( j-(5-3 j)=7 j+4 \)

First, let's simplify the equation step by step. Start by distributing the negative sign in the expression on the left: \( j - (5 - 3j) = j - 5 + 3j = 4j - 5 \) Now, the equation becomes: \( 4j - 5 = 7j + 4 \) Next, move all terms involving \( j \) to one side and constant terms to the other side: Subtract \( 4j \) from both sides: \( -5 = 3j + 4 \) Now, subtract 4 from both sides: \( -5 - 4 = 3j \) This simplifies to: \( -9 = 3j \) Finally, divide both sides by 3 to solve for \( j \): \( j = -3 \) Thus, the solution is \( j = -3 \).