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Simplifying 2(2w + -15) + 2w = 48 Reorder the terms: 2(-15 + 2w) + 2w = 48 (-15 * 2 + 2w * 2) + 2w = 48 (-30 + 4w) + 2w = 48 Combine like terms: 4w + 2w = 6w -30 + 6w = 48 Solving -30 + 6w = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6w = 48 + 30 Combine like terms: -30 + 30 = 0 0 + 6w = 48 + 30 6w = 48 + 30 Combine like terms: 48 + 30 = 78 6w = 78 Divide each side by '6'. w = 13 Simplifying w = 13
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