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