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Simplifying 4j + -3(3j + -1) = -32 Reorder the terms: 4j + -3(-1 + 3j) = -32 4j + (-1 * -3 + 3j * -3) = -32 4j + (3 + -9j) = -32 Reorder the terms: 3 + 4j + -9j = -32 Combine like terms: 4j + -9j = -5j 3 + -5j = -32 Solving 3 + -5j = -32 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 + -5j = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -5j = -32 + -3 -5j = -32 + -3 Combine like terms: -32 + -3 = -35 -5j = -35 Divide each side by '-5'. j = 7 Simplifying j = 7
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