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Simplifying -7w + 2(w + 7) = 24 Reorder the terms: -7w + 2(7 + w) = 24 -7w + (7 * 2 + w * 2) = 24 -7w + (14 + 2w) = 24 Reorder the terms: 14 + -7w + 2w = 24 Combine like terms: -7w + 2w = -5w 14 + -5w = 24 Solving 14 + -5w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5w = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -5w = 24 + -14 -5w = 24 + -14 Combine like terms: 24 + -14 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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