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Simplifying 5a + 4b + 3c + 2a = 0 Reorder the terms: 5a + 2a + 4b + 3c = 0 Combine like terms: 5a + 2a = 7a 7a + 4b + 3c = 0 Solving 7a + 4b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 7a + 4b + -4b + 3c = 0 + -4b Combine like terms: 4b + -4b = 0 7a + 0 + 3c = 0 + -4b 7a + 3c = 0 + -4b Remove the zero: 7a + 3c = -4b Add '-3c' to each side of the equation. 7a + 3c + -3c = -4b + -3c Combine like terms: 3c + -3c = 0 7a + 0 = -4b + -3c 7a = -4b + -3c Divide each side by '7'. a = -0.5714285714b + -0.4285714286c Simplifying a = -0.5714285714b + -0.4285714286c
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