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Simplifying 37 + -4j = 7 + -10j Solving 37 + -4j = 7 + -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. 37 + -4j + 10j = 7 + -10j + 10j Combine like terms: -4j + 10j = 6j 37 + 6j = 7 + -10j + 10j Combine like terms: -10j + 10j = 0 37 + 6j = 7 + 0 37 + 6j = 7 Add '-37' to each side of the equation. 37 + -37 + 6j = 7 + -37 Combine like terms: 37 + -37 = 0 0 + 6j = 7 + -37 6j = 7 + -37 Combine like terms: 7 + -37 = -30 6j = -30 Divide each side by '6'. j = -5 Simplifying j = -5
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