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Simplifying -2w + -17 + 7w = -12 Reorder the terms: -17 + -2w + 7w = -12 Combine like terms: -2w + 7w = 5w -17 + 5w = -12 Solving -17 + 5w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5w = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 5w = -12 + 17 5w = -12 + 17 Combine like terms: -12 + 17 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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