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Simplifying 2(w + 7) = -2(5w + -1) + 2w Reorder the terms: 2(7 + w) = -2(5w + -1) + 2w (7 * 2 + w * 2) = -2(5w + -1) + 2w (14 + 2w) = -2(5w + -1) + 2w Reorder the terms: 14 + 2w = -2(-1 + 5w) + 2w 14 + 2w = (-1 * -2 + 5w * -2) + 2w 14 + 2w = (2 + -10w) + 2w Combine like terms: -10w + 2w = -8w 14 + 2w = 2 + -8w Solving 14 + 2w = 2 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 14 + 2w + 8w = 2 + -8w + 8w Combine like terms: 2w + 8w = 10w 14 + 10w = 2 + -8w + 8w Combine like terms: -8w + 8w = 0 14 + 10w = 2 + 0 14 + 10w = 2 Add '-14' to each side of the equation. 14 + -14 + 10w = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 10w = 2 + -14 10w = 2 + -14 Combine like terms: 2 + -14 = -12 10w = -12 Divide each side by '10'. w = -1.2 Simplifying w = -1.2
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