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Simplifying 9 + -5j = 12 + -1(6j + 7) Reorder the terms: 9 + -5j = 12 + -1(7 + 6j) 9 + -5j = 12 + (7 * -1 + 6j * -1) 9 + -5j = 12 + (-7 + -6j) Combine like terms: 12 + -7 = 5 9 + -5j = 5 + -6j Solving 9 + -5j = 5 + -6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6j' to each side of the equation. 9 + -5j + 6j = 5 + -6j + 6j Combine like terms: -5j + 6j = 1j 9 + 1j = 5 + -6j + 6j Combine like terms: -6j + 6j = 0 9 + 1j = 5 + 0 9 + 1j = 5 Add '-9' to each side of the equation. 9 + -9 + 1j = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1j = 5 + -9 1j = 5 + -9 Combine like terms: 5 + -9 = -4 1j = -4 Divide each side by '1'. j = -4 Simplifying j = -4
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