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Simplifying 243 = 2(w + 9) + 2w Reorder the terms: 243 = 2(9 + w) + 2w 243 = (9 * 2 + w * 2) + 2w 243 = (18 + 2w) + 2w Combine like terms: 2w + 2w = 4w 243 = 18 + 4w Solving 243 = 18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 243 + -4w = 18 + 4w + -4w Combine like terms: 4w + -4w = 0 243 + -4w = 18 + 0 243 + -4w = 18 Add '-243' to each side of the equation. 243 + -243 + -4w = 18 + -243 Combine like terms: 243 + -243 = 0 0 + -4w = 18 + -243 -4w = 18 + -243 Combine like terms: 18 + -243 = -225 -4w = -225 Divide each side by '-4'. w = 56.25 Simplifying w = 56.25
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