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Simplifying -5w + -14 = -7w Reorder the terms: -14 + -5w = -7w Solving -14 + -5w = -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. -14 + -5w + 7w = -7w + 7w Combine like terms: -5w + 7w = 2w -14 + 2w = -7w + 7w Combine like terms: -7w + 7w = 0 -14 + 2w = 0 Add '14' to each side of the equation. -14 + 14 + 2w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = 0 + 14 2w = 0 + 14 Combine like terms: 0 + 14 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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