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Simplifying (3a + 7) + (2a + -6) = (-9) Reorder the terms: (7 + 3a) + (2a + -6) = (-9) Remove parenthesis around (7 + 3a) 7 + 3a + (2a + -6) = (-9) Reorder the terms: 7 + 3a + (-6 + 2a) = (-9) Remove parenthesis around (-6 + 2a) 7 + 3a + -6 + 2a = (-9) Reorder the terms: 7 + -6 + 3a + 2a = (-9) Combine like terms: 7 + -6 = 1 1 + 3a + 2a = (-9) Combine like terms: 3a + 2a = 5a 1 + 5a = (-9) 1 + 5a = -9 Solving 1 + 5a = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5a = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = -9 + -1 5a = -9 + -1 Combine like terms: -9 + -1 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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