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Simplifying 2(2w + -9) + 2w = 48 Reorder the terms: 2(-9 + 2w) + 2w = 48 (-9 * 2 + 2w * 2) + 2w = 48 (-18 + 4w) + 2w = 48 Combine like terms: 4w + 2w = 6w -18 + 6w = 48 Solving -18 + 6w = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6w = 48 + 18 Combine like terms: -18 + 18 = 0 0 + 6w = 48 + 18 6w = 48 + 18 Combine like terms: 48 + 18 = 66 6w = 66 Divide each side by '6'. w = 11 Simplifying w = 11
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