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Simplifying 10 + 10j + 8 = 3j + -10 Reorder the terms: 10 + 8 + 10j = 3j + -10 Combine like terms: 10 + 8 = 18 18 + 10j = 3j + -10 Reorder the terms: 18 + 10j = -10 + 3j Solving 18 + 10j = -10 + 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. 18 + 10j + -3j = -10 + 3j + -3j Combine like terms: 10j + -3j = 7j 18 + 7j = -10 + 3j + -3j Combine like terms: 3j + -3j = 0 18 + 7j = -10 + 0 18 + 7j = -10 Add '-18' to each side of the equation. 18 + -18 + 7j = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 7j = -10 + -18 7j = -10 + -18 Combine like terms: -10 + -18 = -28 7j = -28 Divide each side by '7'. j = -4 Simplifying j = -4
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