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Simplifying -8w + 6(w + 2) = 2 Reorder the terms: -8w + 6(2 + w) = 2 -8w + (2 * 6 + w * 6) = 2 -8w + (12 + 6w) = 2 Reorder the terms: 12 + -8w + 6w = 2 Combine like terms: -8w + 6w = -2w 12 + -2w = 2 Solving 12 + -2w = 2 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 = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 2 + -12 -2w = 2 + -12 Combine like terms: 2 + -12 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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