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Simplifying 4j + 1 = 5j Reorder the terms: 1 + 4j = 5j Solving 1 + 4j = 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. 1 + 4j + -5j = 5j + -5j Combine like terms: 4j + -5j = -1j 1 + -1j = 5j + -5j Combine like terms: 5j + -5j = 0 1 + -1j = 0 Add '-1' to each side of the equation. 1 + -1 + -1j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1j = 0 + -1 -1j = 0 + -1 Combine like terms: 0 + -1 = -1 -1j = -1 Divide each side by '-1'. j = 1 Simplifying j = 1
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