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Simplifying (4 + j) * 8 = 0 Reorder the terms for easier multiplication: 8(4 + j) = 0 (4 * 8 + j * 8) = 0 (32 + 8j) = 0 Solving 32 + 8j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8j = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8j = 0 + -32 8j = 0 + -32 Combine like terms: 0 + -32 = -32 8j = -32 Divide each side by '8'. j = -4 Simplifying j = -4
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