To solve the equation \( j - 9.53 = 4.86j \), we can rearrange the equation to isolate \( j \):
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Start by moving all the terms involving \( j \) to one side and the constant to the other side: \[ j - 4.86j = 9.53 \]
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Combine like terms: \[ -3.86j = 9.53 \]
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Now, divide both sides by -3.86 to solve for \( j \): \[ j = \frac{9.53}{-3.86} \] \[ j \approx -2.47 \]
So, the solution is approximately: \[ j \approx -2.47 \]