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Simplifying (14J + 9) + -1(6j + -12) = 0 Reorder the terms: (9 + 14J) + -1(6j + -12) = 0 Remove parenthesis around (9 + 14J) 9 + 14J + -1(6j + -12) = 0 Reorder the terms: 9 + 14J + -1(-12 + 6j) = 0 9 + 14J + (-12 * -1 + 6j * -1) = 0 9 + 14J + (12 + -6j) = 0 Reorder the terms: 9 + 12 + 14J + -6j = 0 Combine like terms: 9 + 12 = 21 21 + 14J + -6j = 0 Solving 21 + 14J + -6j = 0 Solving for variable 'J'. Move all terms containing J to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 14J + -21 + -6j = 0 + -21 Reorder the terms: 21 + -21 + 14J + -6j = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 14J + -6j = 0 + -21 14J + -6j = 0 + -21 Combine like terms: 0 + -21 = -21 14J + -6j = -21 Add '6j' to each side of the equation. 14J + -6j + 6j = -21 + 6j Combine like terms: -6j + 6j = 0 14J + 0 = -21 + 6j 14J = -21 + 6j Divide each side by '14'. J = -1.5 + 0.4285714286j Simplifying J = -1.5 + 0.4285714286j
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