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Simplifying -17j + 10 + 15j = -8 + -3j Reorder the terms: 10 + -17j + 15j = -8 + -3j Combine like terms: -17j + 15j = -2j 10 + -2j = -8 + -3j Solving 10 + -2j = -8 + -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 = -8 + -3j + 3j Combine like terms: -2j + 3j = 1j 10 + 1j = -8 + -3j + 3j Combine like terms: -3j + 3j = 0 10 + 1j = -8 + 0 10 + 1j = -8 Add '-10' to each side of the equation. 10 + -10 + 1j = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 1j = -8 + -10 1j = -8 + -10 Combine like terms: -8 + -10 = -18 1j = -18 Divide each side by '1'. j = -18 Simplifying j = -18
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