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Simplifying 2w + -2 + 2(3w + 1) = -2(w + 7) Reorder the terms: 2w + -2 + 2(1 + 3w) = -2(w + 7) 2w + -2 + (1 * 2 + 3w * 2) = -2(w + 7) 2w + -2 + (2 + 6w) = -2(w + 7) Reorder the terms: -2 + 2 + 2w + 6w = -2(w + 7) Combine like terms: -2 + 2 = 0 0 + 2w + 6w = -2(w + 7) 2w + 6w = -2(w + 7) Combine like terms: 2w + 6w = 8w 8w = -2(w + 7) Reorder the terms: 8w = -2(7 + w) 8w = (7 * -2 + w * -2) 8w = (-14 + -2w) Solving 8w = -14 + -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. 8w + 2w = -14 + -2w + 2w Combine like terms: 8w + 2w = 10w 10w = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 10w = -14 + 0 10w = -14 Divide each side by '10'. w = -1.4 Simplifying w = -1.4
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