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Simplifying -4 + 6j = 7 + 10j + 1 Reorder the terms: -4 + 6j = 7 + 1 + 10j Combine like terms: 7 + 1 = 8 -4 + 6j = 8 + 10j Solving -4 + 6j = 8 + 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 + 6j + -10j = 8 + 10j + -10j Combine like terms: 6j + -10j = -4j -4 + -4j = 8 + 10j + -10j Combine like terms: 10j + -10j = 0 -4 + -4j = 8 + 0 -4 + -4j = 8 Add '4' to each side of the equation. -4 + 4 + -4j = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -4j = 8 + 4 -4j = 8 + 4 Combine like terms: 8 + 4 = 12 -4j = 12 Divide each side by '-4'. j = -3 Simplifying j = -3
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