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Simplifying 2(w + 6) + 2W = 24 Reorder the terms: 2(6 + w) + 2W = 24 (6 * 2 + w * 2) + 2W = 24 (12 + 2w) + 2W = 24 Reorder the terms: 12 + 2W + 2w = 24 Solving 12 + 2W + 2w = 24 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2W + -12 + 2w = 24 + -12 Reorder the terms: 12 + -12 + 2W + 2w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2W + 2w = 24 + -12 2W + 2w = 24 + -12 Combine like terms: 24 + -12 = 12 2W + 2w = 12 Add '-2w' to each side of the equation. 2W + 2w + -2w = 12 + -2w Combine like terms: 2w + -2w = 0 2W + 0 = 12 + -2w 2W = 12 + -2w Divide each side by '2'. W = 6 + -1w Simplifying W = 6 + -1w
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