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Simplifying 17 + 3w = 8 + 21w Solving 17 + 3w = 8 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 17 + 3w + -21w = 8 + 21w + -21w Combine like terms: 3w + -21w = -18w 17 + -18w = 8 + 21w + -21w Combine like terms: 21w + -21w = 0 17 + -18w = 8 + 0 17 + -18w = 8 Add '-17' to each side of the equation. 17 + -17 + -18w = 8 + -17 Combine like terms: 17 + -17 = 0 0 + -18w = 8 + -17 -18w = 8 + -17 Combine like terms: 8 + -17 = -9 -18w = -9 Divide each side by '-18'. w = 0.5 Simplifying w = 0.5
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