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Simplifying 7(w + -5) = 5(w + 3) Reorder the terms: 7(-5 + w) = 5(w + 3) (-5 * 7 + w * 7) = 5(w + 3) (-35 + 7w) = 5(w + 3) Reorder the terms: -35 + 7w = 5(3 + w) -35 + 7w = (3 * 5 + w * 5) -35 + 7w = (15 + 5w) Solving -35 + 7w = 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. -35 + 7w + -5w = 15 + 5w + -5w Combine like terms: 7w + -5w = 2w -35 + 2w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 -35 + 2w = 15 + 0 -35 + 2w = 15 Add '35' to each side of the equation. -35 + 35 + 2w = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 2w = 15 + 35 2w = 15 + 35 Combine like terms: 15 + 35 = 50 2w = 50 Divide each side by '2'. w = 25 Simplifying w = 25
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