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Simplifying 2 + -1(-1j + 4) = 9j + 6 Reorder the terms: 2 + -1(4 + -1j) = 9j + 6 2 + (4 * -1 + -1j * -1) = 9j + 6 2 + (-4 + 1j) = 9j + 6 Combine like terms: 2 + -4 = -2 -2 + 1j = 9j + 6 Reorder the terms: -2 + 1j = 6 + 9j Solving -2 + 1j = 6 + 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. -2 + 1j + -9j = 6 + 9j + -9j Combine like terms: 1j + -9j = -8j -2 + -8j = 6 + 9j + -9j Combine like terms: 9j + -9j = 0 -2 + -8j = 6 + 0 -2 + -8j = 6 Add '2' to each side of the equation. -2 + 2 + -8j = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -8j = 6 + 2 -8j = 6 + 2 Combine like terms: 6 + 2 = 8 -8j = 8 Divide each side by '-8'. j = -1 Simplifying j = -1
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