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Simplifying 3[5J + 2] = 2[3J + -6] Reorder the terms: 3[2 + 5J] = 2[3J + -6] [2 * 3 + 5J * 3] = 2[3J + -6] [6 + 15J] = 2[3J + -6] Reorder the terms: 6 + 15J = 2[-6 + 3J] 6 + 15J = [-6 * 2 + 3J * 2] 6 + 15J = [-12 + 6J] Solving 6 + 15J = -12 + 6J Solving for variable 'J'. Move all terms containing J to the left, all other terms to the right. Add '-6J' to each side of the equation. 6 + 15J + -6J = -12 + 6J + -6J Combine like terms: 15J + -6J = 9J 6 + 9J = -12 + 6J + -6J Combine like terms: 6J + -6J = 0 6 + 9J = -12 + 0 6 + 9J = -12 Add '-6' to each side of the equation. 6 + -6 + 9J = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9J = -12 + -6 9J = -12 + -6 Combine like terms: -12 + -6 = -18 9J = -18 Divide each side by '9'. J = -2 Simplifying J = -2
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