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Simplifying 5(10 + -1j) = 3j + 2 (10 * 5 + -1j * 5) = 3j + 2 (50 + -5j) = 3j + 2 Reorder the terms: 50 + -5j = 2 + 3j Solving 50 + -5j = 2 + 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. 50 + -5j + -3j = 2 + 3j + -3j Combine like terms: -5j + -3j = -8j 50 + -8j = 2 + 3j + -3j Combine like terms: 3j + -3j = 0 50 + -8j = 2 + 0 50 + -8j = 2 Add '-50' to each side of the equation. 50 + -50 + -8j = 2 + -50 Combine like terms: 50 + -50 = 0 0 + -8j = 2 + -50 -8j = 2 + -50 Combine like terms: 2 + -50 = -48 -8j = -48 Divide each side by '-8'. j = 6 Simplifying j = 6
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