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Simplifying 2(w + 6) = -8w + -48 Reorder the terms: 2(6 + w) = -8w + -48 (6 * 2 + w * 2) = -8w + -48 (12 + 2w) = -8w + -48 Reorder the terms: 12 + 2w = -48 + -8w Solving 12 + 2w = -48 + -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. 12 + 2w + 8w = -48 + -8w + 8w Combine like terms: 2w + 8w = 10w 12 + 10w = -48 + -8w + 8w Combine like terms: -8w + 8w = 0 12 + 10w = -48 + 0 12 + 10w = -48 Add '-12' to each side of the equation. 12 + -12 + 10w = -48 + -12 Combine like terms: 12 + -12 = 0 0 + 10w = -48 + -12 10w = -48 + -12 Combine like terms: -48 + -12 = -60 10w = -60 Divide each side by '10'. w = -6 Simplifying w = -6
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