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Simplifying 150 + 75(w + -3) + 50 = 500 Reorder the terms: 150 + 75(-3 + w) + 50 = 500 150 + (-3 * 75 + w * 75) + 50 = 500 150 + (-225 + 75w) + 50 = 500 Reorder the terms: 150 + -225 + 50 + 75w = 500 Combine like terms: 150 + -225 = -75 -75 + 50 + 75w = 500 Combine like terms: -75 + 50 = -25 -25 + 75w = 500 Solving -25 + 75w = 500 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 75w = 500 + 25 Combine like terms: -25 + 25 = 0 0 + 75w = 500 + 25 75w = 500 + 25 Combine like terms: 500 + 25 = 525 75w = 525 Divide each side by '75'. w = 7 Simplifying w = 7
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