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Simplifying 3(j + 5) = (11 + -1j) Reorder the terms: 3(5 + j) = (11 + -1j) (5 * 3 + j * 3) = (11 + -1j) (15 + 3j) = (11 + -1j) Remove parenthesis around (11 + -1j) 15 + 3j = 11 + -1j Solving 15 + 3j = 11 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 15 + 3j + j = 11 + -1j + j Combine like terms: 3j + j = 4j 15 + 4j = 11 + -1j + j Combine like terms: -1j + j = 0 15 + 4j = 11 + 0 15 + 4j = 11 Add '-15' to each side of the equation. 15 + -15 + 4j = 11 + -15 Combine like terms: 15 + -15 = 0 0 + 4j = 11 + -15 4j = 11 + -15 Combine like terms: 11 + -15 = -4 4j = -4 Divide each side by '4'. j = -1 Simplifying j = -1
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