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Simplifying -3(3 + -8j) + -1(-5 + -3v) = 0 (3 * -3 + -8j * -3) + -1(-5 + -3v) = 0 (-9 + 24j) + -1(-5 + -3v) = 0 -9 + 24j + (-5 * -1 + -3v * -1) = 0 -9 + 24j + (5 + 3v) = 0 Reorder the terms: -9 + 5 + 24j + 3v = 0 Combine like terms: -9 + 5 = -4 -4 + 24j + 3v = 0 Solving -4 + 24j + 3v = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 24j + 4 + 3v = 0 + 4 Reorder the terms: -4 + 4 + 24j + 3v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 24j + 3v = 0 + 4 24j + 3v = 0 + 4 Combine like terms: 0 + 4 = 4 24j + 3v = 4 Add '-3v' to each side of the equation. 24j + 3v + -3v = 4 + -3v Combine like terms: 3v + -3v = 0 24j + 0 = 4 + -3v 24j = 4 + -3v Divide each side by '24'. j = 0.1666666667 + -0.125v Simplifying j = 0.1666666667 + -0.125v
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