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Simplifying 3(3j + 11) + 2(8j + -7) = 0 Reorder the terms: 3(11 + 3j) + 2(8j + -7) = 0 (11 * 3 + 3j * 3) + 2(8j + -7) = 0 (33 + 9j) + 2(8j + -7) = 0 Reorder the terms: 33 + 9j + 2(-7 + 8j) = 0 33 + 9j + (-7 * 2 + 8j * 2) = 0 33 + 9j + (-14 + 16j) = 0 Reorder the terms: 33 + -14 + 9j + 16j = 0 Combine like terms: 33 + -14 = 19 19 + 9j + 16j = 0 Combine like terms: 9j + 16j = 25j 19 + 25j = 0 Solving 19 + 25j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 25j = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 25j = 0 + -19 25j = 0 + -19 Combine like terms: 0 + -19 = -19 25j = -19 Divide each side by '25'. j = -0.76 Simplifying j = -0.76
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