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Simplifying w + 17 = -1w + -7 Reorder the terms: 17 + w = -1w + -7 Reorder the terms: 17 + w = -7 + -1w Solving 17 + w = -7 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 17 + w + w = -7 + -1w + w Combine like terms: w + w = 2w 17 + 2w = -7 + -1w + w Combine like terms: -1w + w = 0 17 + 2w = -7 + 0 17 + 2w = -7 Add '-17' to each side of the equation. 17 + -17 + 2w = -7 + -17 Combine like terms: 17 + -17 = 0 0 + 2w = -7 + -17 2w = -7 + -17 Combine like terms: -7 + -17 = -24 2w = -24 Divide each side by '2'. w = -12 Simplifying w = -12
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