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Simplifying -3w + 28 = -5w + 44 Reorder the terms: 28 + -3w = -5w + 44 Reorder the terms: 28 + -3w = 44 + -5w Solving 28 + -3w = 44 + -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. 28 + -3w + 5w = 44 + -5w + 5w Combine like terms: -3w + 5w = 2w 28 + 2w = 44 + -5w + 5w Combine like terms: -5w + 5w = 0 28 + 2w = 44 + 0 28 + 2w = 44 Add '-28' to each side of the equation. 28 + -28 + 2w = 44 + -28 Combine like terms: 28 + -28 = 0 0 + 2w = 44 + -28 2w = 44 + -28 Combine like terms: 44 + -28 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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