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Simplifying 4j + -3(2 + j) = 6 4j + (2 * -3 + j * -3) = 6 4j + (-6 + -3j) = 6 Reorder the terms: -6 + 4j + -3j = 6 Combine like terms: 4j + -3j = 1j -6 + 1j = 6 Solving -6 + 1j = 6 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1j = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1j = 6 + 6 1j = 6 + 6 Combine like terms: 6 + 6 = 12 1j = 12 Divide each side by '1'. j = 12 Simplifying j = 12
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