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Simplifying 18w + 17 = 20w + 9 Reorder the terms: 17 + 18w = 20w + 9 Reorder the terms: 17 + 18w = 9 + 20w Solving 17 + 18w = 9 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 17 + 18w + -20w = 9 + 20w + -20w Combine like terms: 18w + -20w = -2w 17 + -2w = 9 + 20w + -20w Combine like terms: 20w + -20w = 0 17 + -2w = 9 + 0 17 + -2w = 9 Add '-17' to each side of the equation. 17 + -17 + -2w = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -2w = 9 + -17 -2w = 9 + -17 Combine like terms: 9 + -17 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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