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Simplifying 10w + -8 = 7 + 5w Reorder the terms: -8 + 10w = 7 + 5w Solving -8 + 10w = 7 + 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 + 10w + -5w = 7 + 5w + -5w Combine like terms: 10w + -5w = 5w -8 + 5w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + 5w = 7 + 0 -8 + 5w = 7 Add '8' to each side of the equation. -8 + 8 + 5w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5w = 7 + 8 5w = 7 + 8 Combine like terms: 7 + 8 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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