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Simplifying 174 = 9 + 2w + w + 9 + 2w + w Reorder the terms: 174 = 9 + 9 + 2w + w + 2w + w Combine like terms: 9 + 9 = 18 174 = 18 + 2w + w + 2w + w Combine like terms: 2w + w = 3w 174 = 18 + 3w + 2w + w Combine like terms: 3w + 2w = 5w 174 = 18 + 5w + w Combine like terms: 5w + w = 6w 174 = 18 + 6w Solving 174 = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 174 + -6w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 174 + -6w = 18 + 0 174 + -6w = 18 Add '-174' to each side of the equation. 174 + -174 + -6w = 18 + -174 Combine like terms: 174 + -174 = 0 0 + -6w = 18 + -174 -6w = 18 + -174 Combine like terms: 18 + -174 = -156 -6w = -156 Divide each side by '-6'. w = 26 Simplifying w = 26
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