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Simplifying -8 + 8j + -4 = 10j + 8 Reorder the terms: -8 + -4 + 8j = 10j + 8 Combine like terms: -8 + -4 = -12 -12 + 8j = 10j + 8 Reorder the terms: -12 + 8j = 8 + 10j Solving -12 + 8j = 8 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. -12 + 8j + -10j = 8 + 10j + -10j Combine like terms: 8j + -10j = -2j -12 + -2j = 8 + 10j + -10j Combine like terms: 10j + -10j = 0 -12 + -2j = 8 + 0 -12 + -2j = 8 Add '12' to each side of the equation. -12 + 12 + -2j = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2j = 8 + 12 -2j = 8 + 12 Combine like terms: 8 + 12 = 20 -2j = 20 Divide each side by '-2'. j = -10 Simplifying j = -10
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