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Simplifying 49 = 4w + 17 Reorder the terms: 49 = 17 + 4w Solving 49 = 17 + 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. 49 + -4w = 17 + 4w + -4w Combine like terms: 4w + -4w = 0 49 + -4w = 17 + 0 49 + -4w = 17 Add '-49' to each side of the equation. 49 + -49 + -4w = 17 + -49 Combine like terms: 49 + -49 = 0 0 + -4w = 17 + -49 -4w = 17 + -49 Combine like terms: 17 + -49 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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