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Simplifying 5w + -17 = 12 + -5w Reorder the terms: -17 + 5w = 12 + -5w Solving -17 + 5w = 12 + -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. -17 + 5w + 5w = 12 + -5w + 5w Combine like terms: 5w + 5w = 10w -17 + 10w = 12 + -5w + 5w Combine like terms: -5w + 5w = 0 -17 + 10w = 12 + 0 -17 + 10w = 12 Add '17' to each side of the equation. -17 + 17 + 10w = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 10w = 12 + 17 10w = 12 + 17 Combine like terms: 12 + 17 = 29 10w = 29 Divide each side by '10'. w = 2.9 Simplifying w = 2.9
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