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Simplifying 10 + -2j = 7j + -10 + -4j Reorder the terms: 10 + -2j = -10 + 7j + -4j Combine like terms: 7j + -4j = 3j 10 + -2j = -10 + 3j Solving 10 + -2j = -10 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 10 + -2j + -3j = -10 + 3j + -3j Combine like terms: -2j + -3j = -5j 10 + -5j = -10 + 3j + -3j Combine like terms: 3j + -3j = 0 10 + -5j = -10 + 0 10 + -5j = -10 Add '-10' to each side of the equation. 10 + -10 + -5j = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5j = -10 + -10 -5j = -10 + -10 Combine like terms: -10 + -10 = -20 -5j = -20 Divide each side by '-5'. j = 4 Simplifying j = 4
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