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Simplifying 4(6 + -1j) = 12 + -1j (6 * 4 + -1j * 4) = 12 + -1j (24 + -4j) = 12 + -1j Solving 24 + -4j = 12 + -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. 24 + -4j + j = 12 + -1j + j Combine like terms: -4j + j = -3j 24 + -3j = 12 + -1j + j Combine like terms: -1j + j = 0 24 + -3j = 12 + 0 24 + -3j = 12 Add '-24' to each side of the equation. 24 + -24 + -3j = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3j = 12 + -24 -3j = 12 + -24 Combine like terms: 12 + -24 = -12 -3j = -12 Divide each side by '-3'. j = 4 Simplifying j = 4
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