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Simplifying -6j + -5 + -5j = -9j + 7 Reorder the terms: -5 + -6j + -5j = -9j + 7 Combine like terms: -6j + -5j = -11j -5 + -11j = -9j + 7 Reorder the terms: -5 + -11j = 7 + -9j Solving -5 + -11j = 7 + -9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '9j' to each side of the equation. -5 + -11j + 9j = 7 + -9j + 9j Combine like terms: -11j + 9j = -2j -5 + -2j = 7 + -9j + 9j Combine like terms: -9j + 9j = 0 -5 + -2j = 7 + 0 -5 + -2j = 7 Add '5' to each side of the equation. -5 + 5 + -2j = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -2j = 7 + 5 -2j = 7 + 5 Combine like terms: 7 + 5 = 12 -2j = 12 Divide each side by '-2'. j = -6 Simplifying j = -6
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