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Simplifying 6(2j + 1) + 7 = 0 Reorder the terms: 6(1 + 2j) + 7 = 0 (1 * 6 + 2j * 6) + 7 = 0 (6 + 12j) + 7 = 0 Reorder the terms: 6 + 7 + 12j = 0 Combine like terms: 6 + 7 = 13 13 + 12j = 0 Solving 13 + 12j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12j = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 12j = 0 + -13 12j = 0 + -13 Combine like terms: 0 + -13 = -13 12j = -13 Divide each side by '12'. j = -1.083333333 Simplifying j = -1.083333333
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