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Simplifying 456 = 2(7 + -4w) + 2w 456 = (7 * 2 + -4w * 2) + 2w 456 = (14 + -8w) + 2w Combine like terms: -8w + 2w = -6w 456 = 14 + -6w Solving 456 = 14 + -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. 456 + 6w = 14 + -6w + 6w Combine like terms: -6w + 6w = 0 456 + 6w = 14 + 0 456 + 6w = 14 Add '-456' to each side of the equation. 456 + -456 + 6w = 14 + -456 Combine like terms: 456 + -456 = 0 0 + 6w = 14 + -456 6w = 14 + -456 Combine like terms: 14 + -456 = -442 6w = -442 Divide each side by '6'. w = -73.66666667 Simplifying w = -73.66666667
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