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Simplifying (9a + 3a + -5) + (6a + -9a + 2) = 0 Reorder the terms: (-5 + 9a + 3a) + (6a + -9a + 2) = 0 Combine like terms: 9a + 3a = 12a (-5 + 12a) + (6a + -9a + 2) = 0 Remove parenthesis around (-5 + 12a) -5 + 12a + (6a + -9a + 2) = 0 Reorder the terms: -5 + 12a + (2 + 6a + -9a) = 0 Combine like terms: 6a + -9a = -3a -5 + 12a + (2 + -3a) = 0 Remove parenthesis around (2 + -3a) -5 + 12a + 2 + -3a = 0 Reorder the terms: -5 + 2 + 12a + -3a = 0 Combine like terms: -5 + 2 = -3 -3 + 12a + -3a = 0 Combine like terms: 12a + -3a = 9a -3 + 9a = 0 Solving -3 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 9a = 0 + 3 9a = 0 + 3 Combine like terms: 0 + 3 = 3 9a = 3 Divide each side by '9'. a = 0.3333333333 Simplifying a = 0.3333333333
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