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Simplifying 2(2w + -23) = -3 + 10 Reorder the terms: 2(-23 + 2w) = -3 + 10 (-23 * 2 + 2w * 2) = -3 + 10 (-46 + 4w) = -3 + 10 Combine like terms: -3 + 10 = 7 -46 + 4w = 7 Solving -46 + 4w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 4w = 7 + 46 Combine like terms: -46 + 46 = 0 0 + 4w = 7 + 46 4w = 7 + 46 Combine like terms: 7 + 46 = 53 4w = 53 Divide each side by '4'. w = 13.25 Simplifying w = 13.25
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