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Simplifying 8(-1j + 1) = -10j Reorder the terms: 8(1 + -1j) = -10j (1 * 8 + -1j * 8) = -10j (8 + -8j) = -10j Solving 8 + -8j = -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. 8 + -8j + 10j = -10j + 10j Combine like terms: -8j + 10j = 2j 8 + 2j = -10j + 10j Combine like terms: -10j + 10j = 0 8 + 2j = 0 Add '-8' to each side of the equation. 8 + -8 + 2j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2j = 0 + -8 2j = 0 + -8 Combine like terms: 0 + -8 = -8 2j = -8 Divide each side by '2'. j = -4 Simplifying j = -4
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