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Simplifying 7(5j + -3) + -2(4j + -9) = 0 Reorder the terms: 7(-3 + 5j) + -2(4j + -9) = 0 (-3 * 7 + 5j * 7) + -2(4j + -9) = 0 (-21 + 35j) + -2(4j + -9) = 0 Reorder the terms: -21 + 35j + -2(-9 + 4j) = 0 -21 + 35j + (-9 * -2 + 4j * -2) = 0 -21 + 35j + (18 + -8j) = 0 Reorder the terms: -21 + 18 + 35j + -8j = 0 Combine like terms: -21 + 18 = -3 -3 + 35j + -8j = 0 Combine like terms: 35j + -8j = 27j -3 + 27j = 0 Solving -3 + 27j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 27j = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 27j = 0 + 3 27j = 0 + 3 Combine like terms: 0 + 3 = 3 27j = 3 Divide each side by '27'. j = 0.1111111111 Simplifying j = 0.1111111111
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