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Simplifying 6w + 7w + -8 + -5w = 21 + -2w + 11 Reorder the terms: -8 + 6w + 7w + -5w = 21 + -2w + 11 Combine like terms: 6w + 7w = 13w -8 + 13w + -5w = 21 + -2w + 11 Combine like terms: 13w + -5w = 8w -8 + 8w = 21 + -2w + 11 Reorder the terms: -8 + 8w = 21 + 11 + -2w Combine like terms: 21 + 11 = 32 -8 + 8w = 32 + -2w Solving -8 + 8w = 32 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -8 + 8w + 2w = 32 + -2w + 2w Combine like terms: 8w + 2w = 10w -8 + 10w = 32 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 10w = 32 + 0 -8 + 10w = 32 Add '8' to each side of the equation. -8 + 8 + 10w = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 10w = 32 + 8 10w = 32 + 8 Combine like terms: 32 + 8 = 40 10w = 40 Divide each side by '10'. w = 4 Simplifying w = 4
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