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Simplifying -7w + -14 = 15 + -5w Reorder the terms: -14 + -7w = 15 + -5w Solving -14 + -7w = 15 + -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. -14 + -7w + 5w = 15 + -5w + 5w Combine like terms: -7w + 5w = -2w -14 + -2w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 -14 + -2w = 15 + 0 -14 + -2w = 15 Add '14' to each side of the equation. -14 + 14 + -2w = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = 15 + 14 -2w = 15 + 14 Combine like terms: 15 + 14 = 29 -2w = 29 Divide each side by '-2'. w = -14.5 Simplifying w = -14.5
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