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Simplifying (3a + 14) + (5a + -1) + (4a + -8) = 180 Reorder the terms: (14 + 3a) + (5a + -1) + (4a + -8) = 180 Remove parenthesis around (14 + 3a) 14 + 3a + (5a + -1) + (4a + -8) = 180 Reorder the terms: 14 + 3a + (-1 + 5a) + (4a + -8) = 180 Remove parenthesis around (-1 + 5a) 14 + 3a + -1 + 5a + (4a + -8) = 180 Reorder the terms: 14 + 3a + -1 + 5a + (-8 + 4a) = 180 Remove parenthesis around (-8 + 4a) 14 + 3a + -1 + 5a + -8 + 4a = 180 Reorder the terms: 14 + -1 + -8 + 3a + 5a + 4a = 180 Combine like terms: 14 + -1 = 13 13 + -8 + 3a + 5a + 4a = 180 Combine like terms: 13 + -8 = 5 5 + 3a + 5a + 4a = 180 Combine like terms: 3a + 5a = 8a 5 + 8a + 4a = 180 Combine like terms: 8a + 4a = 12a 5 + 12a = 180 Solving 5 + 12a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12a = 180 + -5 Combine like terms: 5 + -5 = 0 0 + 12a = 180 + -5 12a = 180 + -5 Combine like terms: 180 + -5 = 175 12a = 175 Divide each side by '12'. a = 14.58333333 Simplifying a = 14.58333333
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