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Simplifying 66 = 2(3 + 4w) + 2w 66 = (3 * 2 + 4w * 2) + 2w 66 = (6 + 8w) + 2w Combine like terms: 8w + 2w = 10w 66 = 6 + 10w Solving 66 = 6 + 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. 66 + -10w = 6 + 10w + -10w Combine like terms: 10w + -10w = 0 66 + -10w = 6 + 0 66 + -10w = 6 Add '-66' to each side of the equation. 66 + -66 + -10w = 6 + -66 Combine like terms: 66 + -66 = 0 0 + -10w = 6 + -66 -10w = 6 + -66 Combine like terms: 6 + -66 = -60 -10w = -60 Divide each side by '-10'. w = 6 Simplifying w = 6
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