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Simplifying 4w + -9(6 + -5w) = 44 4w + (6 * -9 + -5w * -9) = 44 4w + (-54 + 45w) = 44 Reorder the terms: -54 + 4w + 45w = 44 Combine like terms: 4w + 45w = 49w -54 + 49w = 44 Solving -54 + 49w = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 49w = 44 + 54 Combine like terms: -54 + 54 = 0 0 + 49w = 44 + 54 49w = 44 + 54 Combine like terms: 44 + 54 = 98 49w = 98 Divide each side by '49'. w = 2 Simplifying w = 2
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