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Simplifying 8(w + 2) = -2w + -14 Reorder the terms: 8(2 + w) = -2w + -14 (2 * 8 + w * 8) = -2w + -14 (16 + 8w) = -2w + -14 Reorder the terms: 16 + 8w = -14 + -2w Solving 16 + 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. 16 + 8w + 2w = -14 + -2w + 2w Combine like terms: 8w + 2w = 10w 16 + 10w = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 16 + 10w = -14 + 0 16 + 10w = -14 Add '-16' to each side of the equation. 16 + -16 + 10w = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 10w = -14 + -16 10w = -14 + -16 Combine like terms: -14 + -16 = -30 10w = -30 Divide each side by '10'. w = -3 Simplifying w = -3
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