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Simplifying 7j + -4 = 5 + 9j + 5 Reorder the terms: -4 + 7j = 5 + 9j + 5 Reorder the terms: -4 + 7j = 5 + 5 + 9j Combine like terms: 5 + 5 = 10 -4 + 7j = 10 + 9j Solving -4 + 7j = 10 + 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. -4 + 7j + -9j = 10 + 9j + -9j Combine like terms: 7j + -9j = -2j -4 + -2j = 10 + 9j + -9j Combine like terms: 9j + -9j = 0 -4 + -2j = 10 + 0 -4 + -2j = 10 Add '4' to each side of the equation. -4 + 4 + -2j = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2j = 10 + 4 -2j = 10 + 4 Combine like terms: 10 + 4 = 14 -2j = 14 Divide each side by '-2'. j = -7 Simplifying j = -7
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