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Simplifying 228 = 2(2w + -9) + 2w Reorder the terms: 228 = 2(-9 + 2w) + 2w 228 = (-9 * 2 + 2w * 2) + 2w 228 = (-18 + 4w) + 2w Combine like terms: 4w + 2w = 6w 228 = -18 + 6w Solving 228 = -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. 228 + -6w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 228 + -6w = -18 + 0 228 + -6w = -18 Add '-228' to each side of the equation. 228 + -228 + -6w = -18 + -228 Combine like terms: 228 + -228 = 0 0 + -6w = -18 + -228 -6w = -18 + -228 Combine like terms: -18 + -228 = -246 -6w = -246 Divide each side by '-6'. w = 41 Simplifying w = 41
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