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Simplifying -20j + 3j + 19 = -9(3j + 18) + -19 Reorder the terms: 19 + -20j + 3j = -9(3j + 18) + -19 Combine like terms: -20j + 3j = -17j 19 + -17j = -9(3j + 18) + -19 Reorder the terms: 19 + -17j = -9(18 + 3j) + -19 19 + -17j = (18 * -9 + 3j * -9) + -19 19 + -17j = (-162 + -27j) + -19 Reorder the terms: 19 + -17j = -162 + -19 + -27j Combine like terms: -162 + -19 = -181 19 + -17j = -181 + -27j Solving 19 + -17j = -181 + -27j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '27j' to each side of the equation. 19 + -17j + 27j = -181 + -27j + 27j Combine like terms: -17j + 27j = 10j 19 + 10j = -181 + -27j + 27j Combine like terms: -27j + 27j = 0 19 + 10j = -181 + 0 19 + 10j = -181 Add '-19' to each side of the equation. 19 + -19 + 10j = -181 + -19 Combine like terms: 19 + -19 = 0 0 + 10j = -181 + -19 10j = -181 + -19 Combine like terms: -181 + -19 = -200 10j = -200 Divide each side by '10'. j = -20 Simplifying j = -20
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