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Simplifying -10j + 20 = 7j + -4 + -13j Reorder the terms: 20 + -10j = 7j + -4 + -13j Reorder the terms: 20 + -10j = -4 + 7j + -13j Combine like terms: 7j + -13j = -6j 20 + -10j = -4 + -6j Solving 20 + -10j = -4 + -6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6j' to each side of the equation. 20 + -10j + 6j = -4 + -6j + 6j Combine like terms: -10j + 6j = -4j 20 + -4j = -4 + -6j + 6j Combine like terms: -6j + 6j = 0 20 + -4j = -4 + 0 20 + -4j = -4 Add '-20' to each side of the equation. 20 + -20 + -4j = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -4j = -4 + -20 -4j = -4 + -20 Combine like terms: -4 + -20 = -24 -4j = -24 Divide each side by '-4'. j = 6 Simplifying j = 6
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