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Simplifying -2j + 8 = -8 + -7j + 9j Reorder the terms: 8 + -2j = -8 + -7j + 9j Combine like terms: -7j + 9j = 2j 8 + -2j = -8 + 2j Solving 8 + -2j = -8 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 8 + -2j + -2j = -8 + 2j + -2j Combine like terms: -2j + -2j = -4j 8 + -4j = -8 + 2j + -2j Combine like terms: 2j + -2j = 0 8 + -4j = -8 + 0 8 + -4j = -8 Add '-8' to each side of the equation. 8 + -8 + -4j = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4j = -8 + -8 -4j = -8 + -8 Combine like terms: -8 + -8 = -16 -4j = -16 Divide each side by '-4'. j = 4 Simplifying j = 4
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