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Simplifying j + -1[5 + -3j] = 7j + 4 j + [5 * -1 + -3j * -1] = 7j + 4 j + [-5 + 3j] = 7j + 4 Reorder the terms: -5 + j + 3j = 7j + 4 Combine like terms: j + 3j = 4j -5 + 4j = 7j + 4 Reorder the terms: -5 + 4j = 4 + 7j Solving -5 + 4j = 4 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -5 + 4j + -7j = 4 + 7j + -7j Combine like terms: 4j + -7j = -3j -5 + -3j = 4 + 7j + -7j Combine like terms: 7j + -7j = 0 -5 + -3j = 4 + 0 -5 + -3j = 4 Add '5' to each side of the equation. -5 + 5 + -3j = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -3j = 4 + 5 -3j = 4 + 5 Combine like terms: 4 + 5 = 9 -3j = 9 Divide each side by '-3'. j = -3 Simplifying j = -3
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