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Simplifying 66 = 2(2w + 9) + 2w Reorder the terms: 66 = 2(9 + 2w) + 2w 66 = (9 * 2 + 2w * 2) + 2w 66 = (18 + 4w) + 2w Combine like terms: 4w + 2w = 6w 66 = 18 + 6w Solving 66 = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 66 + -6w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 66 + -6w = 18 + 0 66 + -6w = 18 Add '-66' to each side of the equation. 66 + -66 + -6w = 18 + -66 Combine like terms: 66 + -66 = 0 0 + -6w = 18 + -66 -6w = 18 + -66 Combine like terms: 18 + -66 = -48 -6w = -48 Divide each side by '-6'. w = 8 Simplifying w = 8
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