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Simplifying 10 + -1j = 3j + 66 Reorder the terms: 10 + -1j = 66 + 3j Solving 10 + -1j = 66 + 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 + -1j + -3j = 66 + 3j + -3j Combine like terms: -1j + -3j = -4j 10 + -4j = 66 + 3j + -3j Combine like terms: 3j + -3j = 0 10 + -4j = 66 + 0 10 + -4j = 66 Add '-10' to each side of the equation. 10 + -10 + -4j = 66 + -10 Combine like terms: 10 + -10 = 0 0 + -4j = 66 + -10 -4j = 66 + -10 Combine like terms: 66 + -10 = 56 -4j = 56 Divide each side by '-4'. j = -14 Simplifying j = -14
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