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Simplifying 464 = 2(3w + 4) + 2w Reorder the terms: 464 = 2(4 + 3w) + 2w 464 = (4 * 2 + 3w * 2) + 2w 464 = (8 + 6w) + 2w Combine like terms: 6w + 2w = 8w 464 = 8 + 8w Solving 464 = 8 + 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. 464 + -8w = 8 + 8w + -8w Combine like terms: 8w + -8w = 0 464 + -8w = 8 + 0 464 + -8w = 8 Add '-464' to each side of the equation. 464 + -464 + -8w = 8 + -464 Combine like terms: 464 + -464 = 0 0 + -8w = 8 + -464 -8w = 8 + -464 Combine like terms: 8 + -464 = -456 -8w = -456 Divide each side by '-8'. w = 57 Simplifying w = 57
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