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Simplifying a + b + -2c + 4a + -12b + -6c = 0 Reorder the terms: a + 4a + b + -12b + -2c + -6c = 0 Combine like terms: a + 4a = 5a 5a + b + -12b + -2c + -6c = 0 Combine like terms: b + -12b = -11b 5a + -11b + -2c + -6c = 0 Combine like terms: -2c + -6c = -8c 5a + -11b + -8c = 0 Solving 5a + -11b + -8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. 5a + -11b + 11b + -8c = 0 + 11b Combine like terms: -11b + 11b = 0 5a + 0 + -8c = 0 + 11b 5a + -8c = 0 + 11b Remove the zero: 5a + -8c = 11b Add '8c' to each side of the equation. 5a + -8c + 8c = 11b + 8c Combine like terms: -8c + 8c = 0 5a + 0 = 11b + 8c 5a = 11b + 8c Divide each side by '5'. a = 2.2b + 1.6c Simplifying a = 2.2b + 1.6c
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