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Simplifying 418 = 2w + 3(9 + 2w) 418 = 2w + (9 * 3 + 2w * 3) 418 = 2w + (27 + 6w) Reorder the terms: 418 = 27 + 2w + 6w Combine like terms: 2w + 6w = 8w 418 = 27 + 8w Solving 418 = 27 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 418 + -8w = 27 + 8w + -8w Combine like terms: 8w + -8w = 0 418 + -8w = 27 + 0 418 + -8w = 27 Add '-418' to each side of the equation. 418 + -418 + -8w = 27 + -418 Combine like terms: 418 + -418 = 0 0 + -8w = 27 + -418 -8w = 27 + -418 Combine like terms: 27 + -418 = -391 -8w = -391 Divide each side by '-8'. w = 48.875 Simplifying w = 48.875
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