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Simplifying 4(7 + -1j) = 18 + -1j (7 * 4 + -1j * 4) = 18 + -1j (28 + -4j) = 18 + -1j Solving 28 + -4j = 18 + -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. 28 + -4j + j = 18 + -1j + j Combine like terms: -4j + j = -3j 28 + -3j = 18 + -1j + j Combine like terms: -1j + j = 0 28 + -3j = 18 + 0 28 + -3j = 18 Add '-28' to each side of the equation. 28 + -28 + -3j = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -3j = 18 + -28 -3j = 18 + -28 Combine like terms: 18 + -28 = -10 -3j = -10 Divide each side by '-3'. j = 3.333333333 Simplifying j = 3.333333333
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