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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 = 1 -2w = 1 Divide each side by '-2'. w = -0.5 Simplifying w = -0.5
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