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Simplifying 2w + 17 = -4w + -25 Reorder the terms: 17 + 2w = -4w + -25 Reorder the terms: 17 + 2w = -25 + -4w Solving 17 + 2w = -25 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 17 + 2w + 4w = -25 + -4w + 4w Combine like terms: 2w + 4w = 6w 17 + 6w = -25 + -4w + 4w Combine like terms: -4w + 4w = 0 17 + 6w = -25 + 0 17 + 6w = -25 Add '-17' to each side of the equation. 17 + -17 + 6w = -25 + -17 Combine like terms: 17 + -17 = 0 0 + 6w = -25 + -17 6w = -25 + -17 Combine like terms: -25 + -17 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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