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Simplifying a + 3b + 5c + 4a = 0 Reorder the terms: a + 4a + 3b + 5c = 0 Combine like terms: a + 4a = 5a 5a + 3b + 5c = 0 Solving 5a + 3b + 5c = 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. 5a + 3b + -3b + 5c = 0 + -3b Combine like terms: 3b + -3b = 0 5a + 0 + 5c = 0 + -3b 5a + 5c = 0 + -3b Remove the zero: 5a + 5c = -3b Add '-5c' to each side of the equation. 5a + 5c + -5c = -3b + -5c Combine like terms: 5c + -5c = 0 5a + 0 = -3b + -5c 5a = -3b + -5c Divide each side by '5'. a = -0.6b + -1c Simplifying a = -0.6b + -1c
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