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Simplifying 4w + -9(6 + -52) = 44 Combine like terms: 6 + -52 = -46 4w + -9(-46) = 44 Multiply -9 * -46 4w + 414 = 44 Reorder the terms: 414 + 4w = 44 Solving 414 + 4w = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-414' to each side of the equation. 414 + -414 + 4w = 44 + -414 Combine like terms: 414 + -414 = 0 0 + 4w = 44 + -414 4w = 44 + -414 Combine like terms: 44 + -414 = -370 4w = -370 Divide each side by '4'. w = -92.5 Simplifying w = -92.5
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