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Simplifying 0.9w + 0.15(3000 + -1w) = 0.18(4000) 0.9w + (3000 * 0.15 + -1w * 0.15) = 0.18(4000) 0.9w + (450 + -0.15w) = 0.18(4000) Reorder the terms: 450 + 0.9w + -0.15w = 0.18(4000) Combine like terms: 0.9w + -0.15w = 0.75w 450 + 0.75w = 0.18(4000) Multiply 0.18 * 4000 450 + 0.75w = 720 Solving 450 + 0.75w = 720 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + 0.75w = 720 + -450 Combine like terms: 450 + -450 = 0 0 + 0.75w = 720 + -450 0.75w = 720 + -450 Combine like terms: 720 + -450 = 270 0.75w = 270 Divide each side by '0.75'. w = 360 Simplifying w = 360
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