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Simplifying 5(w + 5) = -2w + -24 Reorder the terms: 5(5 + w) = -2w + -24 (5 * 5 + w * 5) = -2w + -24 (25 + 5w) = -2w + -24 Reorder the terms: 25 + 5w = -24 + -2w Solving 25 + 5w = -24 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 25 + 5w + 2w = -24 + -2w + 2w Combine like terms: 5w + 2w = 7w 25 + 7w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 25 + 7w = -24 + 0 25 + 7w = -24 Add '-25' to each side of the equation. 25 + -25 + 7w = -24 + -25 Combine like terms: 25 + -25 = 0 0 + 7w = -24 + -25 7w = -24 + -25 Combine like terms: -24 + -25 = -49 7w = -49 Divide each side by '7'. w = -7 Simplifying w = -7
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