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Simplifying (7w + 1)(5) = 0 Reorder the terms: (1 + 7w)(5) = 0 Reorder the terms for easier multiplication: 5(1 + 7w) = 0 (1 * 5 + 7w * 5) = 0 (5 + 35w) = 0 Solving 5 + 35w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 35w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 35w = 0 + -5 35w = 0 + -5 Combine like terms: 0 + -5 = -5 35w = -5 Divide each side by '35'. w = -0.1428571429 Simplifying w = -0.1428571429
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