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Simplifying 54 = 2(4w + 7) + 2w Reorder the terms: 54 = 2(7 + 4w) + 2w 54 = (7 * 2 + 4w * 2) + 2w 54 = (14 + 8w) + 2w Combine like terms: 8w + 2w = 10w 54 = 14 + 10w Solving 54 = 14 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 54 + -10w = 14 + 10w + -10w Combine like terms: 10w + -10w = 0 54 + -10w = 14 + 0 54 + -10w = 14 Add '-54' to each side of the equation. 54 + -54 + -10w = 14 + -54 Combine like terms: 54 + -54 = 0 0 + -10w = 14 + -54 -10w = 14 + -54 Combine like terms: 14 + -54 = -40 -10w = -40 Divide each side by '-10'. w = 4 Simplifying w = 4
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