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Simplifying (8a + -23) + (9 + -2a) = 9 Reorder the terms: (-23 + 8a) + (9 + -2a) = 9 Remove parenthesis around (-23 + 8a) -23 + 8a + (9 + -2a) = 9 Remove parenthesis around (9 + -2a) -23 + 8a + 9 + -2a = 9 Reorder the terms: -23 + 9 + 8a + -2a = 9 Combine like terms: -23 + 9 = -14 -14 + 8a + -2a = 9 Combine like terms: 8a + -2a = 6a -14 + 6a = 9 Solving -14 + 6a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6a = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 6a = 9 + 14 6a = 9 + 14 Combine like terms: 9 + 14 = 23 6a = 23 Divide each side by '6'. a = 3.833333333 Simplifying a = 3.833333333
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