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Simplifying 2w + 2(2w + 1) = 98 Reorder the terms: 2w + 2(1 + 2w) = 98 2w + (1 * 2 + 2w * 2) = 98 2w + (2 + 4w) = 98 Reorder the terms: 2 + 2w + 4w = 98 Combine like terms: 2w + 4w = 6w 2 + 6w = 98 Solving 2 + 6w = 98 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 + 6w = 98 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = 98 + -2 6w = 98 + -2 Combine like terms: 98 + -2 = 96 6w = 96 Divide each side by '6'. w = 16 Simplifying w = 16
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