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Simplifying (1 + -1w + 2w) * 2 = 16 Combine like terms: -1w + 2w = 1w (1 + 1w) * 2 = 16 Reorder the terms for easier multiplication: 2(1 + 1w) = 16 (1 * 2 + 1w * 2) = 16 (2 + 2w) = 16 Solving 2 + 2w = 16 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2w = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 16 + -2 2w = 16 + -2 Combine like terms: 16 + -2 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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