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Simplifying 7 + -2j + 8J + -3 = 0 Reorder the terms: 7 + -3 + 8J + -2j = 0 Combine like terms: 7 + -3 = 4 4 + 8J + -2j = 0 Solving 4 + 8J + -2j = 0 Solving for variable 'J'. Move all terms containing J to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8J + -4 + -2j = 0 + -4 Reorder the terms: 4 + -4 + 8J + -2j = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8J + -2j = 0 + -4 8J + -2j = 0 + -4 Combine like terms: 0 + -4 = -4 8J + -2j = -4 Add '2j' to each side of the equation. 8J + -2j + 2j = -4 + 2j Combine like terms: -2j + 2j = 0 8J + 0 = -4 + 2j 8J = -4 + 2j Divide each side by '8'. J = -0.5 + 0.25j Simplifying J = -0.5 + 0.25j
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