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Simplifying -3w + 8(w + 5) = 5 Reorder the terms: -3w + 8(5 + w) = 5 -3w + (5 * 8 + w * 8) = 5 -3w + (40 + 8w) = 5 Reorder the terms: 40 + -3w + 8w = 5 Combine like terms: -3w + 8w = 5w 40 + 5w = 5 Solving 40 + 5w = 5 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 + 5w = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 5w = 5 + -40 5w = 5 + -40 Combine like terms: 5 + -40 = -35 5w = -35 Divide each side by '5'. w = -7 Simplifying w = -7
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