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