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Simplifying 5(j + 8) = 0 Reorder the terms: 5(8 + j) = 0 (8 * 5 + j * 5) = 0 (40 + 5j) = 0 Solving 40 + 5j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 5j = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5j = 0 + -40 5j = 0 + -40 Combine like terms: 0 + -40 = -40 5j = -40 Divide each side by '5'. j = -8 Simplifying j = -8
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