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Simplifying 2(2w + 3) + 2w = 48 Reorder the terms: 2(3 + 2w) + 2w = 48 (3 * 2 + 2w * 2) + 2w = 48 (6 + 4w) + 2w = 48 Combine like terms: 4w + 2w = 6w 6 + 6w = 48 Solving 6 + 6w = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6w = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 6w = 48 + -6 6w = 48 + -6 Combine like terms: 48 + -6 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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