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Simplifying 9j + -1(5j + 1) + -1[2 + 8j + -1(7j + -5)] + 9j = 0 Reorder the terms: 9j + -1(1 + 5j) + -1[2 + 8j + -1(7j + -5)] + 9j = 0 9j + (1 * -1 + 5j * -1) + -1[2 + 8j + -1(7j + -5)] + 9j = 0 9j + (-1 + -5j) + -1[2 + 8j + -1(7j + -5)] + 9j = 0 Reorder the terms: 9j + -1 + -5j + -1[2 + 8j + -1(-5 + 7j)] + 9j = 0 9j + -1 + -5j + -1[2 + 8j + (-5 * -1 + 7j * -1)] + 9j = 0 9j + -1 + -5j + -1[2 + 8j + (5 + -7j)] + 9j = 0 Reorder the terms: 9j + -1 + -5j + -1[2 + 5 + 8j + -7j] + 9j = 0 Combine like terms: 2 + 5 = 7 9j + -1 + -5j + -1[7 + 8j + -7j] + 9j = 0 Combine like terms: 8j + -7j = 1j 9j + -1 + -5j + -1[7 + 1j] + 9j = 0 9j + -1 + -5j + [7 * -1 + 1j * -1] + 9j = 0 9j + -1 + -5j + [-7 + -1j] + 9j = 0 Reorder the terms: -1 + -7 + 9j + -5j + -1j + 9j = 0 Combine like terms: -1 + -7 = -8 -8 + 9j + -5j + -1j + 9j = 0 Combine like terms: 9j + -5j = 4j -8 + 4j + -1j + 9j = 0 Combine like terms: 4j + -1j = 3j -8 + 3j + 9j = 0 Combine like terms: 3j + 9j = 12j -8 + 12j = 0 Solving -8 + 12j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12j = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 12j = 0 + 8 12j = 0 + 8 Combine like terms: 0 + 8 = 8 12j = 8 Divide each side by '12'. j = 0.6666666667 Simplifying j = 0.6666666667
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