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Simplifying 7w + 8w + -2 = (5w + 8) Reorder the terms: -2 + 7w + 8w = (5w + 8) Combine like terms: 7w + 8w = 15w -2 + 15w = (5w + 8) Reorder the terms: -2 + 15w = (8 + 5w) Remove parenthesis around (8 + 5w) -2 + 15w = 8 + 5w Solving -2 + 15w = 8 + 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. -2 + 15w + -5w = 8 + 5w + -5w Combine like terms: 15w + -5w = 10w -2 + 10w = 8 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 + 10w = 8 + 0 -2 + 10w = 8 Add '2' to each side of the equation. -2 + 2 + 10w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 10w = 8 + 2 10w = 8 + 2 Combine like terms: 8 + 2 = 10 10w = 10 Divide each side by '10'. w = 1 Simplifying w = 1
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