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Simplifying (a + 13) + (a + -7) = 180 Reorder the terms: (13 + a) + (a + -7) = 180 Remove parenthesis around (13 + a) 13 + a + (a + -7) = 180 Reorder the terms: 13 + a + (-7 + a) = 180 Remove parenthesis around (-7 + a) 13 + a + -7 + a = 180 Reorder the terms: 13 + -7 + a + a = 180 Combine like terms: 13 + -7 = 6 6 + a + a = 180 Combine like terms: a + a = 2a 6 + 2a = 180 Solving 6 + 2a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2a = 180 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 180 + -6 2a = 180 + -6 Combine like terms: 180 + -6 = 174 2a = 174 Divide each side by '2'. a = 87 Simplifying a = 87
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