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Simplifying J + -1(5 + -3j) = 7j + 5 J + (5 * -1 + -3j * -1) = 7j + 5 J + (-5 + 3j) = 7j + 5 Reorder the terms: -5 + J + 3j = 7j + 5 Reorder the terms: -5 + J + 3j = 5 + 7j Solving -5 + J + 3j = 5 + 7j Solving for variable 'J'. Move all terms containing J to the left, all other terms to the right. Add '5' to each side of the equation. -5 + J + 5 + 3j = 5 + 5 + 7j Reorder the terms: -5 + 5 + J + 3j = 5 + 5 + 7j Combine like terms: -5 + 5 = 0 0 + J + 3j = 5 + 5 + 7j J + 3j = 5 + 5 + 7j Combine like terms: 5 + 5 = 10 J + 3j = 10 + 7j Add '-3j' to each side of the equation. J + 3j + -3j = 10 + 7j + -3j Combine like terms: 3j + -3j = 0 J + 0 = 10 + 7j + -3j J = 10 + 7j + -3j Combine like terms: 7j + -3j = 4j J = 10 + 4j Simplifying J = 10 + 4j
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