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Simplifying 6j + 4 + -8j + 12 = 6j + -3 + -6j + 30 Reorder the terms: 4 + 12 + 6j + -8j = 6j + -3 + -6j + 30 Combine like terms: 4 + 12 = 16 16 + 6j + -8j = 6j + -3 + -6j + 30 Combine like terms: 6j + -8j = -2j 16 + -2j = 6j + -3 + -6j + 30 Reorder the terms: 16 + -2j = -3 + 30 + 6j + -6j Combine like terms: -3 + 30 = 27 16 + -2j = 27 + 6j + -6j Combine like terms: 6j + -6j = 0 16 + -2j = 27 + 0 16 + -2j = 27 Solving 16 + -2j = 27 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2j = 27 + -16 Combine like terms: 16 + -16 = 0 0 + -2j = 27 + -16 -2j = 27 + -16 Combine like terms: 27 + -16 = 11 -2j = 11 Divide each side by '-2'. j = -5.5 Simplifying j = -5.5
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