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Simplifying -6(9j + 4) + -1(8j + 7) + 11 = 0 Reorder the terms: -6(4 + 9j) + -1(8j + 7) + 11 = 0 (4 * -6 + 9j * -6) + -1(8j + 7) + 11 = 0 (-24 + -54j) + -1(8j + 7) + 11 = 0 Reorder the terms: -24 + -54j + -1(7 + 8j) + 11 = 0 -24 + -54j + (7 * -1 + 8j * -1) + 11 = 0 -24 + -54j + (-7 + -8j) + 11 = 0 Reorder the terms: -24 + -7 + 11 + -54j + -8j = 0 Combine like terms: -24 + -7 = -31 -31 + 11 + -54j + -8j = 0 Combine like terms: -31 + 11 = -20 -20 + -54j + -8j = 0 Combine like terms: -54j + -8j = -62j -20 + -62j = 0 Solving -20 + -62j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -62j = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -62j = 0 + 20 -62j = 0 + 20 Combine like terms: 0 + 20 = 20 -62j = 20 Divide each side by '-62'. j = -0.3225806452 Simplifying j = -0.3225806452
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