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Simplifying -7w + 10 = w + 2 + -10w Reorder the terms: 10 + -7w = w + 2 + -10w Reorder the terms: 10 + -7w = 2 + w + -10w Combine like terms: w + -10w = -9w 10 + -7w = 2 + -9w Solving 10 + -7w = 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. 10 + -7w + 9w = 2 + -9w + 9w Combine like terms: -7w + 9w = 2w 10 + 2w = 2 + -9w + 9w Combine like terms: -9w + 9w = 0 10 + 2w = 2 + 0 10 + 2w = 2 Add '-10' to each side of the equation. 10 + -10 + 2w = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = 2 + -10 2w = 2 + -10 Combine like terms: 2 + -10 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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