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Simplifying 1 = 2w + -7 + -2 Reorder the terms: 1 = -7 + -2 + 2w Combine like terms: -7 + -2 = -9 1 = -9 + 2w Solving 1 = -9 + 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 = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + -2w = -9 + 0 1 + -2w = -9 Add '-1' to each side of the equation. 1 + -1 + -2w = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = -9 + -1 -2w = -9 + -1 Combine like terms: -9 + -1 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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