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Simplifying 5a + 3b + -1c = 0 Solving 5a + 3b + -1c = 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 + -1c = 0 + -3b Combine like terms: 3b + -3b = 0 5a + 0 + -1c = 0 + -3b 5a + -1c = 0 + -3b Remove the zero: 5a + -1c = -3b Add 'c' to each side of the equation. 5a + -1c + c = -3b + c Combine like terms: -1c + c = 0 5a + 0 = -3b + c 5a = -3b + c Divide each side by '5'. a = -0.6b + 0.2c Simplifying a = -0.6b + 0.2c
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