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Simplifying 2(2w + 16) + 2w = 100 Reorder the terms: 2(16 + 2w) + 2w = 100 (16 * 2 + 2w * 2) + 2w = 100 (32 + 4w) + 2w = 100 Combine like terms: 4w + 2w = 6w 32 + 6w = 100 Solving 32 + 6w = 100 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 6w = 100 + -32 Combine like terms: 32 + -32 = 0 0 + 6w = 100 + -32 6w = 100 + -32 Combine like terms: 100 + -32 = 68 6w = 68 Divide each side by '6'. w = 11.33333333 Simplifying w = 11.33333333
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