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Simplifying 8w + (w + -1) = (3w + 7) + 2w Reorder the terms: 8w + (-1 + w) = (3w + 7) + 2w Remove parenthesis around (-1 + w) 8w + -1 + w = (3w + 7) + 2w Reorder the terms: -1 + 8w + w = (3w + 7) + 2w Combine like terms: 8w + w = 9w -1 + 9w = (3w + 7) + 2w Reorder the terms: -1 + 9w = (7 + 3w) + 2w Remove parenthesis around (7 + 3w) -1 + 9w = 7 + 3w + 2w Combine like terms: 3w + 2w = 5w -1 + 9w = 7 + 5w Solving -1 + 9w = 7 + 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. -1 + 9w + -5w = 7 + 5w + -5w Combine like terms: 9w + -5w = 4w -1 + 4w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + 4w = 7 + 0 -1 + 4w = 7 Add '1' to each side of the equation. -1 + 1 + 4w = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4w = 7 + 1 4w = 7 + 1 Combine like terms: 7 + 1 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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