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Simplifying 1 = 7 + -2w Solving 1 = 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. 1 + 2w = 7 + -2w + 2w Combine like terms: -2w + 2w = 0 1 + 2w = 7 + 0 1 + 2w = 7 Add '-1' to each side of the equation. 1 + -1 + 2w = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 7 + -1 2w = 7 + -1 Combine like terms: 7 + -1 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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