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Simplifying 6(-3j + 20) = -18 + -3(11j + 19) Reorder the terms: 6(20 + -3j) = -18 + -3(11j + 19) (20 * 6 + -3j * 6) = -18 + -3(11j + 19) (120 + -18j) = -18 + -3(11j + 19) Reorder the terms: 120 + -18j = -18 + -3(19 + 11j) 120 + -18j = -18 + (19 * -3 + 11j * -3) 120 + -18j = -18 + (-57 + -33j) Combine like terms: -18 + -57 = -75 120 + -18j = -75 + -33j Solving 120 + -18j = -75 + -33j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '33j' to each side of the equation. 120 + -18j + 33j = -75 + -33j + 33j Combine like terms: -18j + 33j = 15j 120 + 15j = -75 + -33j + 33j Combine like terms: -33j + 33j = 0 120 + 15j = -75 + 0 120 + 15j = -75 Add '-120' to each side of the equation. 120 + -120 + 15j = -75 + -120 Combine like terms: 120 + -120 = 0 0 + 15j = -75 + -120 15j = -75 + -120 Combine like terms: -75 + -120 = -195 15j = -195 Divide each side by '15'. j = -13 Simplifying j = -13
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