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Simplifying (3 + -2) + 16 + (2a + -3) + (a + 2) = 34 Combine like terms: 3 + -2 = 1 (1) + 16 + (2a + -3) + (a + 2) = 34 1 + 16 + (2a + -3) + (a + 2) = 34 Reorder the terms: 1 + 16 + (-3 + 2a) + (a + 2) = 34 Remove parenthesis around (-3 + 2a) 1 + 16 + -3 + 2a + (a + 2) = 34 Reorder the terms: 1 + 16 + -3 + 2a + (2 + a) = 34 Remove parenthesis around (2 + a) 1 + 16 + -3 + 2a + 2 + a = 34 Reorder the terms: 1 + 16 + -3 + 2 + 2a + a = 34 Combine like terms: 1 + 16 = 17 17 + -3 + 2 + 2a + a = 34 Combine like terms: 17 + -3 = 14 14 + 2 + 2a + a = 34 Combine like terms: 14 + 2 = 16 16 + 2a + a = 34 Combine like terms: 2a + a = 3a 16 + 3a = 34 Solving 16 + 3a = 34 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3a = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 3a = 34 + -16 3a = 34 + -16 Combine like terms: 34 + -16 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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