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Simplifying -38 + 2w = -8w + w Combine like terms: -8w + w = -7w -38 + 2w = -7w Solving -38 + 2w = -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. -38 + 2w + 7w = -7w + 7w Combine like terms: 2w + 7w = 9w -38 + 9w = -7w + 7w Combine like terms: -7w + 7w = 0 -38 + 9w = 0 Add '38' to each side of the equation. -38 + 38 + 9w = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 9w = 0 + 38 9w = 0 + 38 Combine like terms: 0 + 38 = 38 9w = 38 Divide each side by '9'. w = 4.222222222 Simplifying w = 4.222222222
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