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Simplifying 15j + 43 = 35j + -77 Reorder the terms: 43 + 15j = 35j + -77 Reorder the terms: 43 + 15j = -77 + 35j Solving 43 + 15j = -77 + 35j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-35j' to each side of the equation. 43 + 15j + -35j = -77 + 35j + -35j Combine like terms: 15j + -35j = -20j 43 + -20j = -77 + 35j + -35j Combine like terms: 35j + -35j = 0 43 + -20j = -77 + 0 43 + -20j = -77 Add '-43' to each side of the equation. 43 + -43 + -20j = -77 + -43 Combine like terms: 43 + -43 = 0 0 + -20j = -77 + -43 -20j = -77 + -43 Combine like terms: -77 + -43 = -120 -20j = -120 Divide each side by '-20'. j = 6 Simplifying j = 6
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