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Simplifying 20j + 18 = 6(11j + -20) Reorder the terms: 18 + 20j = 6(11j + -20) Reorder the terms: 18 + 20j = 6(-20 + 11j) 18 + 20j = (-20 * 6 + 11j * 6) 18 + 20j = (-120 + 66j) Solving 18 + 20j = -120 + 66j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-66j' to each side of the equation. 18 + 20j + -66j = -120 + 66j + -66j Combine like terms: 20j + -66j = -46j 18 + -46j = -120 + 66j + -66j Combine like terms: 66j + -66j = 0 18 + -46j = -120 + 0 18 + -46j = -120 Add '-18' to each side of the equation. 18 + -18 + -46j = -120 + -18 Combine like terms: 18 + -18 = 0 0 + -46j = -120 + -18 -46j = -120 + -18 Combine like terms: -120 + -18 = -138 -46j = -138 Divide each side by '-46'. j = 3 Simplifying j = 3
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