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Simplifying 2(3w + -18) + 2w = 224 Reorder the terms: 2(-18 + 3w) + 2w = 224 (-18 * 2 + 3w * 2) + 2w = 224 (-36 + 6w) + 2w = 224 Combine like terms: 6w + 2w = 8w -36 + 8w = 224 Solving -36 + 8w = 224 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 8w = 224 + 36 Combine like terms: -36 + 36 = 0 0 + 8w = 224 + 36 8w = 224 + 36 Combine like terms: 224 + 36 = 260 8w = 260 Divide each side by '8'. w = 32.5 Simplifying w = 32.5
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