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Simplifying -8w + 49 = 5(w + 2) Reorder the terms: 49 + -8w = 5(w + 2) Reorder the terms: 49 + -8w = 5(2 + w) 49 + -8w = (2 * 5 + w * 5) 49 + -8w = (10 + 5w) Solving 49 + -8w = 10 + 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. 49 + -8w + -5w = 10 + 5w + -5w Combine like terms: -8w + -5w = -13w 49 + -13w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 49 + -13w = 10 + 0 49 + -13w = 10 Add '-49' to each side of the equation. 49 + -49 + -13w = 10 + -49 Combine like terms: 49 + -49 = 0 0 + -13w = 10 + -49 -13w = 10 + -49 Combine like terms: 10 + -49 = -39 -13w = -39 Divide each side by '-13'. w = 3 Simplifying w = 3
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