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Simplifying 2(2w + 9) + 2w = 114 Reorder the terms: 2(9 + 2w) + 2w = 114 (9 * 2 + 2w * 2) + 2w = 114 (18 + 4w) + 2w = 114 Combine like terms: 4w + 2w = 6w 18 + 6w = 114 Solving 18 + 6w = 114 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6w = 114 + -18 Combine like terms: 18 + -18 = 0 0 + 6w = 114 + -18 6w = 114 + -18 Combine like terms: 114 + -18 = 96 6w = 96 Divide each side by '6'. w = 16 Simplifying w = 16
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