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Simplifying 150a + 100c + 200 = 1500 Reorder the terms: 200 + 150a + 100c = 1500 Solving 200 + 150a + 100c = 1500 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + 150a + -200 + 100c = 1500 + -200 Reorder the terms: 200 + -200 + 150a + 100c = 1500 + -200 Combine like terms: 200 + -200 = 0 0 + 150a + 100c = 1500 + -200 150a + 100c = 1500 + -200 Combine like terms: 1500 + -200 = 1300 150a + 100c = 1300 Add '-100c' to each side of the equation. 150a + 100c + -100c = 1300 + -100c Combine like terms: 100c + -100c = 0 150a + 0 = 1300 + -100c 150a = 1300 + -100c Divide each side by '150'. a = 8.666666667 + -0.6666666667c Simplifying a = 8.666666667 + -0.6666666667c
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