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Simplifying 16 + -8j = 6(10j + -20) Reorder the terms: 16 + -8j = 6(-20 + 10j) 16 + -8j = (-20 * 6 + 10j * 6) 16 + -8j = (-120 + 60j) Solving 16 + -8j = -120 + 60j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-60j' to each side of the equation. 16 + -8j + -60j = -120 + 60j + -60j Combine like terms: -8j + -60j = -68j 16 + -68j = -120 + 60j + -60j Combine like terms: 60j + -60j = 0 16 + -68j = -120 + 0 16 + -68j = -120 Add '-16' to each side of the equation. 16 + -16 + -68j = -120 + -16 Combine like terms: 16 + -16 = 0 0 + -68j = -120 + -16 -68j = -120 + -16 Combine like terms: -120 + -16 = -136 -68j = -136 Divide each side by '-68'. j = 2 Simplifying j = 2
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