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Simplifying 2(2w + 4) + 2W = 50 Reorder the terms: 2(4 + 2w) + 2W = 50 (4 * 2 + 2w * 2) + 2W = 50 (8 + 4w) + 2W = 50 Reorder the terms: 8 + 2W + 4w = 50 Solving 8 + 2W + 4w = 50 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2W + -8 + 4w = 50 + -8 Reorder the terms: 8 + -8 + 2W + 4w = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 2W + 4w = 50 + -8 2W + 4w = 50 + -8 Combine like terms: 50 + -8 = 42 2W + 4w = 42 Add '-4w' to each side of the equation. 2W + 4w + -4w = 42 + -4w Combine like terms: 4w + -4w = 0 2W + 0 = 42 + -4w 2W = 42 + -4w Divide each side by '2'. W = 21 + -2w Simplifying W = 21 + -2w
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