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Simplifying 2w + 17 = 4w + 1 Reorder the terms: 17 + 2w = 4w + 1 Reorder the terms: 17 + 2w = 1 + 4w Solving 17 + 2w = 1 + 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 = 1 + 4w + -4w Combine like terms: 2w + -4w = -2w 17 + -2w = 1 + 4w + -4w Combine like terms: 4w + -4w = 0 17 + -2w = 1 + 0 17 + -2w = 1 Add '-17' to each side of the equation. 17 + -17 + -2w = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -2w = 1 + -17 -2w = 1 + -17 Combine like terms: 1 + -17 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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