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Simplifying 5a + 3b + c = -31 Solving 5a + 3b + c = -31 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 + c = -31 + -3b Combine like terms: 3b + -3b = 0 5a + 0 + c = -31 + -3b 5a + c = -31 + -3b Add '-1c' to each side of the equation. 5a + c + -1c = -31 + -3b + -1c Combine like terms: c + -1c = 0 5a + 0 = -31 + -3b + -1c 5a = -31 + -3b + -1c Divide each side by '5'. a = -6.2 + -0.6b + -0.2c Simplifying a = -6.2 + -0.6b + -0.2c
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