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Simplifying (5 + 2j) + K = 5 + (2j + k) Remove parenthesis around (5 + 2j) 5 + 2j + K = 5 + (2j + k) Reorder the terms: 5 + K + 2j = 5 + (2j + k) Remove parenthesis around (2j + k) 5 + K + 2j = 5 + 2j + k Add '-5' to each side of the equation. 5 + K + -5 + 2j = 5 + 2j + -5 + k Reorder the terms: 5 + -5 + K + 2j = 5 + 2j + -5 + k Combine like terms: 5 + -5 = 0 0 + K + 2j = 5 + 2j + -5 + k K + 2j = 5 + 2j + -5 + k Reorder the terms: K + 2j = 5 + -5 + 2j + k Combine like terms: 5 + -5 = 0 K + 2j = 0 + 2j + k K + 2j = 2j + k Add '-2j' to each side of the equation. K + 2j + -2j = 2j + -2j + k Combine like terms: 2j + -2j = 0 K + 0 = 2j + -2j + k K = 2j + -2j + k Combine like terms: 2j + -2j = 0 K = 0 + k K = k Solving K = k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Simplifying K = k
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