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Simplifying 3(13 + -1J) + -1(78 + J) = 29J (13 * 3 + -1J * 3) + -1(78 + J) = 29J (39 + -3J) + -1(78 + J) = 29J 39 + -3J + (78 * -1 + J * -1) = 29J 39 + -3J + (-78 + -1J) = 29J Reorder the terms: 39 + -78 + -3J + -1J = 29J Combine like terms: 39 + -78 = -39 -39 + -3J + -1J = 29J Combine like terms: -3J + -1J = -4J -39 + -4J = 29J Solving -39 + -4J = 29J Solving for variable 'J'. Move all terms containing J to the left, all other terms to the right. Add '-29J' to each side of the equation. -39 + -4J + -29J = 29J + -29J Combine like terms: -4J + -29J = -33J -39 + -33J = 29J + -29J Combine like terms: 29J + -29J = 0 -39 + -33J = 0 Add '39' to each side of the equation. -39 + 39 + -33J = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -33J = 0 + 39 -33J = 0 + 39 Combine like terms: 0 + 39 = 39 -33J = 39 Divide each side by '-33'. J = -1.181818182 Simplifying J = -1.181818182
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