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Simplifying 10w + 13 + -1w + -6 = 9w + 11 + -2w + -8 Reorder the terms: 13 + -6 + 10w + -1w = 9w + 11 + -2w + -8 Combine like terms: 13 + -6 = 7 7 + 10w + -1w = 9w + 11 + -2w + -8 Combine like terms: 10w + -1w = 9w 7 + 9w = 9w + 11 + -2w + -8 Reorder the terms: 7 + 9w = 11 + -8 + 9w + -2w Combine like terms: 11 + -8 = 3 7 + 9w = 3 + 9w + -2w Combine like terms: 9w + -2w = 7w 7 + 9w = 3 + 7w Solving 7 + 9w = 3 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 7 + 9w + -7w = 3 + 7w + -7w Combine like terms: 9w + -7w = 2w 7 + 2w = 3 + 7w + -7w Combine like terms: 7w + -7w = 0 7 + 2w = 3 + 0 7 + 2w = 3 Add '-7' to each side of the equation. 7 + -7 + 2w = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 3 + -7 2w = 3 + -7 Combine like terms: 3 + -7 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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