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