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Simplifying 2(19j + 7) + 20j = 9(-7j + 15) Reorder the terms: 2(7 + 19j) + 20j = 9(-7j + 15) (7 * 2 + 19j * 2) + 20j = 9(-7j + 15) (14 + 38j) + 20j = 9(-7j + 15) Combine like terms: 38j + 20j = 58j 14 + 58j = 9(-7j + 15) Reorder the terms: 14 + 58j = 9(15 + -7j) 14 + 58j = (15 * 9 + -7j * 9) 14 + 58j = (135 + -63j) Solving 14 + 58j = 135 + -63j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '63j' to each side of the equation. 14 + 58j + 63j = 135 + -63j + 63j Combine like terms: 58j + 63j = 121j 14 + 121j = 135 + -63j + 63j Combine like terms: -63j + 63j = 0 14 + 121j = 135 + 0 14 + 121j = 135 Add '-14' to each side of the equation. 14 + -14 + 121j = 135 + -14 Combine like terms: 14 + -14 = 0 0 + 121j = 135 + -14 121j = 135 + -14 Combine like terms: 135 + -14 = 121 121j = 121 Divide each side by '121'. j = 1 Simplifying j = 1
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