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