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Simplifying 6a + -4b + -2a + c + -3b + a = 0 Reorder the terms: 6a + -2a + a + -4b + -3b + c = 0 Combine like terms: 6a + -2a = 4a 4a + a + -4b + -3b + c = 0 Combine like terms: 4a + a = 5a 5a + -4b + -3b + c = 0 Combine like terms: -4b + -3b = -7b 5a + -7b + c = 0 Solving 5a + -7b + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 5a + -7b + 7b + c = 0 + 7b Combine like terms: -7b + 7b = 0 5a + 0 + c = 0 + 7b 5a + c = 0 + 7b Remove the zero: 5a + c = 7b Add '-1c' to each side of the equation. 5a + c + -1c = 7b + -1c Combine like terms: c + -1c = 0 5a + 0 = 7b + -1c 5a = 7b + -1c Divide each side by '5'. a = 1.4b + -0.2c Simplifying a = 1.4b + -0.2c
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