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Simplifying 456 = 7 + -4w + 2w Combine like terms: -4w + 2w = -2w 456 = 7 + -2w Solving 456 = 7 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 456 + 2w = 7 + -2w + 2w Combine like terms: -2w + 2w = 0 456 + 2w = 7 + 0 456 + 2w = 7 Add '-456' to each side of the equation. 456 + -456 + 2w = 7 + -456 Combine like terms: 456 + -456 = 0 0 + 2w = 7 + -456 2w = 7 + -456 Combine like terms: 7 + -456 = -449 2w = -449 Divide each side by '2'. w = -224.5 Simplifying w = -224.5
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