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Simplifying 8w + -6 + 2w = -2 + w Reorder the terms: -6 + 8w + 2w = -2 + w Combine like terms: 8w + 2w = 10w -6 + 10w = -2 + w Solving -6 + 10w = -2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -6 + 10w + -1w = -2 + w + -1w Combine like terms: 10w + -1w = 9w -6 + 9w = -2 + w + -1w Combine like terms: w + -1w = 0 -6 + 9w = -2 + 0 -6 + 9w = -2 Add '6' to each side of the equation. -6 + 6 + 9w = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 9w = -2 + 6 9w = -2 + 6 Combine like terms: -2 + 6 = 4 9w = 4 Divide each side by '9'. w = 0.4444444444 Simplifying w = 0.4444444444
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