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Simplifying 2(2w + 7) = 2w + 7 Reorder the terms: 2(7 + 2w) = 2w + 7 (7 * 2 + 2w * 2) = 2w + 7 (14 + 4w) = 2w + 7 Reorder the terms: 14 + 4w = 7 + 2w Solving 14 + 4w = 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. 14 + 4w + -2w = 7 + 2w + -2w Combine like terms: 4w + -2w = 2w 14 + 2w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + 2w = 7 + 0 14 + 2w = 7 Add '-14' to each side of the equation. 14 + -14 + 2w = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 7 + -14 2w = 7 + -14 Combine like terms: 7 + -14 = -7 2w = -7 Divide each side by '2'. w = -3.5 Simplifying w = -3.5
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