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Simplifying -8w + 6(w + 2) = 14 Reorder the terms: -8w + 6(2 + w) = 14 -8w + (2 * 6 + w * 6) = 14 -8w + (12 + 6w) = 14 Reorder the terms: 12 + -8w + 6w = 14 Combine like terms: -8w + 6w = -2w 12 + -2w = 14 Solving 12 + -2w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2w = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 14 + -12 -2w = 14 + -12 Combine like terms: 14 + -12 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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