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Simplifying -13j + -20 = -7j + 19 + -3j Reorder the terms: -20 + -13j = -7j + 19 + -3j Reorder the terms: -20 + -13j = 19 + -7j + -3j Combine like terms: -7j + -3j = -10j -20 + -13j = 19 + -10j Solving -20 + -13j = 19 + -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. -20 + -13j + 10j = 19 + -10j + 10j Combine like terms: -13j + 10j = -3j -20 + -3j = 19 + -10j + 10j Combine like terms: -10j + 10j = 0 -20 + -3j = 19 + 0 -20 + -3j = 19 Add '20' to each side of the equation. -20 + 20 + -3j = 19 + 20 Combine like terms: -20 + 20 = 0 0 + -3j = 19 + 20 -3j = 19 + 20 Combine like terms: 19 + 20 = 39 -3j = 39 Divide each side by '-3'. j = -13 Simplifying j = -13
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