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Simplifying 6w + 17 = 4w + 7 Reorder the terms: 17 + 6w = 4w + 7 Reorder the terms: 17 + 6w = 7 + 4w Solving 17 + 6w = 7 + 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 + 6w + -4w = 7 + 4w + -4w Combine like terms: 6w + -4w = 2w 17 + 2w = 7 + 4w + -4w Combine like terms: 4w + -4w = 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 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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