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Simplifying 12j + 4 + 1j = 10j + -3 Reorder the terms: 4 + 12j + 1j = 10j + -3 Combine like terms: 12j + 1j = 13j 4 + 13j = 10j + -3 Reorder the terms: 4 + 13j = -3 + 10j Solving 4 + 13j = -3 + 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. 4 + 13j + -10j = -3 + 10j + -10j Combine like terms: 13j + -10j = 3j 4 + 3j = -3 + 10j + -10j Combine like terms: 10j + -10j = 0 4 + 3j = -3 + 0 4 + 3j = -3 Add '-4' to each side of the equation. 4 + -4 + 3j = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 3j = -3 + -4 3j = -3 + -4 Combine like terms: -3 + -4 = -7 3j = -7 Divide each side by '3'. j = -2.333333333 Simplifying j = -2.333333333
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