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Simplifying 120 = 6(6j + 8) Reorder the terms: 120 = 6(8 + 6j) 120 = (8 * 6 + 6j * 6) 120 = (48 + 36j) Solving 120 = 48 + 36j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-36j' to each side of the equation. 120 + -36j = 48 + 36j + -36j Combine like terms: 36j + -36j = 0 120 + -36j = 48 + 0 120 + -36j = 48 Add '-120' to each side of the equation. 120 + -120 + -36j = 48 + -120 Combine like terms: 120 + -120 = 0 0 + -36j = 48 + -120 -36j = 48 + -120 Combine like terms: 48 + -120 = -72 -36j = -72 Divide each side by '-36'. j = 2 Simplifying j = 2
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