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Simplifying 15a + 20a + 2b + 3c = 200 Combine like terms: 15a + 20a = 35a 35a + 2b + 3c = 200 Solving 35a + 2b + 3c = 200 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 35a + 2b + -2b + 3c = 200 + -2b Combine like terms: 2b + -2b = 0 35a + 0 + 3c = 200 + -2b 35a + 3c = 200 + -2b Add '-3c' to each side of the equation. 35a + 3c + -3c = 200 + -2b + -3c Combine like terms: 3c + -3c = 0 35a + 0 = 200 + -2b + -3c 35a = 200 + -2b + -3c Divide each side by '35'. a = 5.714285714 + -0.05714285714b + -0.08571428571c Simplifying a = 5.714285714 + -0.05714285714b + -0.08571428571c
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