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Simplifying 7w + 8 = 5w Reorder the terms: 8 + 7w = 5w Solving 8 + 7w = 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. 8 + 7w + -5w = 5w + -5w Combine like terms: 7w + -5w = 2w 8 + 2w = 5w + -5w Combine like terms: 5w + -5w = 0 8 + 2w = 0 Add '-8' to each side of the equation. 8 + -8 + 2w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 0 + -8 2w = 0 + -8 Combine like terms: 0 + -8 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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