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Simplifying 5(w + 8) + 8w = 1 Reorder the terms: 5(8 + w) + 8w = 1 (8 * 5 + w * 5) + 8w = 1 (40 + 5w) + 8w = 1 Combine like terms: 5w + 8w = 13w 40 + 13w = 1 Solving 40 + 13w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 13w = 1 + -40 Combine like terms: 40 + -40 = 0 0 + 13w = 1 + -40 13w = 1 + -40 Combine like terms: 1 + -40 = -39 13w = -39 Divide each side by '13'. w = -3 Simplifying w = -3
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