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Simplifying (2a + 5) + (3a + -1) = 34 Reorder the terms: (5 + 2a) + (3a + -1) = 34 Remove parenthesis around (5 + 2a) 5 + 2a + (3a + -1) = 34 Reorder the terms: 5 + 2a + (-1 + 3a) = 34 Remove parenthesis around (-1 + 3a) 5 + 2a + -1 + 3a = 34 Reorder the terms: 5 + -1 + 2a + 3a = 34 Combine like terms: 5 + -1 = 4 4 + 2a + 3a = 34 Combine like terms: 2a + 3a = 5a 4 + 5a = 34 Solving 4 + 5a = 34 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5a = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 34 + -4 5a = 34 + -4 Combine like terms: 34 + -4 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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