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Simplifying 8j + -9 = 8 + -1 + 10j Reorder the terms: -9 + 8j = 8 + -1 + 10j Combine like terms: 8 + -1 = 7 -9 + 8j = 7 + 10j Solving -9 + 8j = 7 + 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. -9 + 8j + -10j = 7 + 10j + -10j Combine like terms: 8j + -10j = -2j -9 + -2j = 7 + 10j + -10j Combine like terms: 10j + -10j = 0 -9 + -2j = 7 + 0 -9 + -2j = 7 Add '9' to each side of the equation. -9 + 9 + -2j = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -2j = 7 + 9 -2j = 7 + 9 Combine like terms: 7 + 9 = 16 -2j = 16 Divide each side by '-2'. j = -8 Simplifying j = -8
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