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Simplifying 1000 + 5c + 15a + -1(750 + 6c + 8.5a) = 250 + 440 + 705 Reorder the terms: 1000 + 5c + 15a + -1(750 + 8.5a + 6c) = 250 + 440 + 705 1000 + 5c + 15a + (750 * -1 + 8.5a * -1 + 6c * -1) = 250 + 440 + 705 1000 + 5c + 15a + (-750 + -8.5a + -6c) = 250 + 440 + 705 Reorder the terms: 1000 + -750 + 15a + -8.5a + 5c + -6c = 250 + 440 + 705 Combine like terms: 1000 + -750 = 250 250 + 15a + -8.5a + 5c + -6c = 250 + 440 + 705 Combine like terms: 15a + -8.5a = 6.5a 250 + 6.5a + 5c + -6c = 250 + 440 + 705 Combine like terms: 5c + -6c = -1c 250 + 6.5a + -1c = 250 + 440 + 705 Combine like terms: 250 + 440 = 690 250 + 6.5a + -1c = 690 + 705 Combine like terms: 690 + 705 = 1395 250 + 6.5a + -1c = 1395 Solving 250 + 6.5a + -1c = 1395 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + 6.5a + -250 + -1c = 1395 + -250 Reorder the terms: 250 + -250 + 6.5a + -1c = 1395 + -250 Combine like terms: 250 + -250 = 0 0 + 6.5a + -1c = 1395 + -250 6.5a + -1c = 1395 + -250 Combine like terms: 1395 + -250 = 1145 6.5a + -1c = 1145 Add 'c' to each side of the equation. 6.5a + -1c + c = 1145 + c Combine like terms: -1c + c = 0 6.5a + 0 = 1145 + c 6.5a = 1145 + c Divide each side by '6.5'. a = 176.1538462 + 0.1538461538c Simplifying a = 176.1538462 + 0.1538461538c
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