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Simplifying -3(j + 6) = 2 + -4j Reorder the terms: -3(6 + j) = 2 + -4j (6 * -3 + j * -3) = 2 + -4j (-18 + -3j) = 2 + -4j Solving -18 + -3j = 2 + -4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4j' to each side of the equation. -18 + -3j + 4j = 2 + -4j + 4j Combine like terms: -3j + 4j = 1j -18 + 1j = 2 + -4j + 4j Combine like terms: -4j + 4j = 0 -18 + 1j = 2 + 0 -18 + 1j = 2 Add '18' to each side of the equation. -18 + 18 + 1j = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 1j = 2 + 18 1j = 2 + 18 Combine like terms: 2 + 18 = 20 1j = 20 Divide each side by '1'. j = 20 Simplifying j = 20
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