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Simplifying 2a + -8c + -9c + 10a + -19 = 0 Reorder the terms: -19 + 2a + 10a + -8c + -9c = 0 Combine like terms: 2a + 10a = 12a -19 + 12a + -8c + -9c = 0 Combine like terms: -8c + -9c = -17c -19 + 12a + -17c = 0 Solving -19 + 12a + -17c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 12a + 19 + -17c = 0 + 19 Reorder the terms: -19 + 19 + 12a + -17c = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 12a + -17c = 0 + 19 12a + -17c = 0 + 19 Combine like terms: 0 + 19 = 19 12a + -17c = 19 Add '17c' to each side of the equation. 12a + -17c + 17c = 19 + 17c Combine like terms: -17c + 17c = 0 12a + 0 = 19 + 17c 12a = 19 + 17c Divide each side by '12'. a = 1.583333333 + 1.416666667c Simplifying a = 1.583333333 + 1.416666667c
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