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Simplifying -7 + 10w = 8w + 9 Reorder the terms: -7 + 10w = 9 + 8w Solving -7 + 10w = 9 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -7 + 10w + -8w = 9 + 8w + -8w Combine like terms: 10w + -8w = 2w -7 + 2w = 9 + 8w + -8w Combine like terms: 8w + -8w = 0 -7 + 2w = 9 + 0 -7 + 2w = 9 Add '7' to each side of the equation. -7 + 7 + 2w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = 9 + 7 2w = 9 + 7 Combine like terms: 9 + 7 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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