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Simplifying 4w + -8 + 7w + 6 = 10w Reorder the terms: -8 + 6 + 4w + 7w = 10w Combine like terms: -8 + 6 = -2 -2 + 4w + 7w = 10w Combine like terms: 4w + 7w = 11w -2 + 11w = 10w Solving -2 + 11w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -2 + 11w + -10w = 10w + -10w Combine like terms: 11w + -10w = 1w -2 + 1w = 10w + -10w Combine like terms: 10w + -10w = 0 -2 + 1w = 0 Add '2' to each side of the equation. -2 + 2 + 1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1w = 0 + 2 1w = 0 + 2 Combine like terms: 0 + 2 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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