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Simplifying 5j + -7j = 4(4 + -1j) Combine like terms: 5j + -7j = -2j -2j = 4(4 + -1j) -2j = (4 * 4 + -1j * 4) -2j = (16 + -4j) Solving -2j = 16 + -4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4j' to each side of the equation. -2j + 4j = 16 + -4j + 4j Combine like terms: -2j + 4j = 2j 2j = 16 + -4j + 4j Combine like terms: -4j + 4j = 0 2j = 16 + 0 2j = 16 Divide each side by '2'. j = 8 Simplifying j = 8
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