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Simplifying 2w + -56 = -5w Reorder the terms: -56 + 2w = -5w Solving -56 + 2w = -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. -56 + 2w + 5w = -5w + 5w Combine like terms: 2w + 5w = 7w -56 + 7w = -5w + 5w Combine like terms: -5w + 5w = 0 -56 + 7w = 0 Add '56' to each side of the equation. -56 + 56 + 7w = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 7w = 0 + 56 7w = 0 + 56 Combine like terms: 0 + 56 = 56 7w = 56 Divide each side by '7'. w = 8 Simplifying w = 8
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