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Simplifying 10 + -4w + 7w + -2 = w Reorder the terms: 10 + -2 + -4w + 7w = w Combine like terms: 10 + -2 = 8 8 + -4w + 7w = w Combine like terms: -4w + 7w = 3w 8 + 3w = w Solving 8 + 3w = 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. 8 + 3w + -1w = w + -1w Combine like terms: 3w + -1w = 2w 8 + 2w = w + -1w Combine like terms: w + -1w = 0 8 + 2w = 0 Add '-8' to each side of the equation. 8 + -8 + 2w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 0 + -8 2w = 0 + -8 Combine like terms: 0 + -8 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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