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Simplifying 20 = 2(w + 6) Reorder the terms: 20 = 2(6 + w) 20 = (6 * 2 + w * 2) 20 = (12 + 2w) Solving 20 = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 20 + -2w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 20 + -2w = 12 + 0 20 + -2w = 12 Add '-20' to each side of the equation. 20 + -20 + -2w = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -2w = 12 + -20 -2w = 12 + -20 Combine like terms: 12 + -20 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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