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Simplifying -10w + 1 = -2 + -2w + -7w Reorder the terms: 1 + -10w = -2 + -2w + -7w Combine like terms: -2w + -7w = -9w 1 + -10w = -2 + -9w Solving 1 + -10w = -2 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 1 + -10w + 9w = -2 + -9w + 9w Combine like terms: -10w + 9w = -1w 1 + -1w = -2 + -9w + 9w Combine like terms: -9w + 9w = 0 1 + -1w = -2 + 0 1 + -1w = -2 Add '-1' to each side of the equation. 1 + -1 + -1w = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = -2 + -1 -1w = -2 + -1 Combine like terms: -2 + -1 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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