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Simplifying -8j + 4 + 20j = 6j + -14 Reorder the terms: 4 + -8j + 20j = 6j + -14 Combine like terms: -8j + 20j = 12j 4 + 12j = 6j + -14 Reorder the terms: 4 + 12j = -14 + 6j Solving 4 + 12j = -14 + 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. 4 + 12j + -6j = -14 + 6j + -6j Combine like terms: 12j + -6j = 6j 4 + 6j = -14 + 6j + -6j Combine like terms: 6j + -6j = 0 4 + 6j = -14 + 0 4 + 6j = -14 Add '-4' to each side of the equation. 4 + -4 + 6j = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 6j = -14 + -4 6j = -14 + -4 Combine like terms: -14 + -4 = -18 6j = -18 Divide each side by '6'. j = -3 Simplifying j = -3
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