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Simplifying 0.7w + 0.79(7000 + -1w) = 0.62(5000) 0.7w + (7000 * 0.79 + -1w * 0.79) = 0.62(5000) 0.7w + (5530 + -0.79w) = 0.62(5000) Reorder the terms: 5530 + 0.7w + -0.79w = 0.62(5000) Combine like terms: 0.7w + -0.79w = -0.09w 5530 + -0.09w = 0.62(5000) Multiply 0.62 * 5000 5530 + -0.09w = 3100 Solving 5530 + -0.09w = 3100 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5530' to each side of the equation. 5530 + -5530 + -0.09w = 3100 + -5530 Combine like terms: 5530 + -5530 = 0 0 + -0.09w = 3100 + -5530 -0.09w = 3100 + -5530 Combine like terms: 3100 + -5530 = -2430 -0.09w = -2430 Divide each side by '-0.09'. w = 27000 Simplifying w = 27000
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