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Simplifying 54 = 2(w + 6) Reorder the terms: 54 = 2(6 + w) 54 = (6 * 2 + w * 2) 54 = (12 + 2w) Solving 54 = 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. 54 + -2w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 54 + -2w = 12 + 0 54 + -2w = 12 Add '-54' to each side of the equation. 54 + -54 + -2w = 12 + -54 Combine like terms: 54 + -54 = 0 0 + -2w = 12 + -54 -2w = 12 + -54 Combine like terms: 12 + -54 = -42 -2w = -42 Divide each side by '-2'. w = 21 Simplifying w = 21
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