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Simplifying 7w + 21 + -48 = 5w Reorder the terms: 21 + -48 + 7w = 5w Combine like terms: 21 + -48 = -27 -27 + 7w = 5w Solving -27 + 7w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -27 + 7w + -5w = 5w + -5w Combine like terms: 7w + -5w = 2w -27 + 2w = 5w + -5w Combine like terms: 5w + -5w = 0 -27 + 2w = 0 Add '27' to each side of the equation. -27 + 27 + 2w = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2w = 0 + 27 2w = 0 + 27 Combine like terms: 0 + 27 = 27 2w = 27 Divide each side by '2'. w = 13.5 Simplifying w = 13.5
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