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Simplifying 16 + -4j + 12j + -19 = -3j + 2 + -7j + 4 Reorder the terms: 16 + -19 + -4j + 12j = -3j + 2 + -7j + 4 Combine like terms: 16 + -19 = -3 -3 + -4j + 12j = -3j + 2 + -7j + 4 Combine like terms: -4j + 12j = 8j -3 + 8j = -3j + 2 + -7j + 4 Reorder the terms: -3 + 8j = 2 + 4 + -3j + -7j Combine like terms: 2 + 4 = 6 -3 + 8j = 6 + -3j + -7j Combine like terms: -3j + -7j = -10j -3 + 8j = 6 + -10j Solving -3 + 8j = 6 + -10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '10j' to each side of the equation. -3 + 8j + 10j = 6 + -10j + 10j Combine like terms: 8j + 10j = 18j -3 + 18j = 6 + -10j + 10j Combine like terms: -10j + 10j = 0 -3 + 18j = 6 + 0 -3 + 18j = 6 Add '3' to each side of the equation. -3 + 3 + 18j = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 18j = 6 + 3 18j = 6 + 3 Combine like terms: 6 + 3 = 9 18j = 9 Divide each side by '18'. j = 0.5 Simplifying j = 0.5
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