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Simplifying 0.8w + 0.84(7000 + -1w) = 0.3(8000) 0.8w + (7000 * 0.84 + -1w * 0.84) = 0.3(8000) 0.8w + (5880 + -0.84w) = 0.3(8000) Reorder the terms: 5880 + 0.8w + -0.84w = 0.3(8000) Combine like terms: 0.8w + -0.84w = -0.04w 5880 + -0.04w = 0.3(8000) Multiply 0.3 * 8000 5880 + -0.04w = 2400 Solving 5880 + -0.04w = 2400 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5880' to each side of the equation. 5880 + -5880 + -0.04w = 2400 + -5880 Combine like terms: 5880 + -5880 = 0 0 + -0.04w = 2400 + -5880 -0.04w = 2400 + -5880 Combine like terms: 2400 + -5880 = -3480 -0.04w = -3480 Divide each side by '-0.04'. w = 87000 Simplifying w = 87000
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