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Simplifying 25 = 3(w + -5) + -8w Reorder the terms: 25 = 3(-5 + w) + -8w 25 = (-5 * 3 + w * 3) + -8w 25 = (-15 + 3w) + -8w Combine like terms: 3w + -8w = -5w 25 = -15 + -5w Solving 25 = -15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 25 + 5w = -15 + -5w + 5w Combine like terms: -5w + 5w = 0 25 + 5w = -15 + 0 25 + 5w = -15 Add '-25' to each side of the equation. 25 + -25 + 5w = -15 + -25 Combine like terms: 25 + -25 = 0 0 + 5w = -15 + -25 5w = -15 + -25 Combine like terms: -15 + -25 = -40 5w = -40 Divide each side by '5'. w = -8 Simplifying w = -8
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