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Simplifying (a + 30) + (a + -18) = 180 Reorder the terms: (30 + a) + (a + -18) = 180 Remove parenthesis around (30 + a) 30 + a + (a + -18) = 180 Reorder the terms: 30 + a + (-18 + a) = 180 Remove parenthesis around (-18 + a) 30 + a + -18 + a = 180 Reorder the terms: 30 + -18 + a + a = 180 Combine like terms: 30 + -18 = 12 12 + a + a = 180 Combine like terms: a + a = 2a 12 + 2a = 180 Solving 12 + 2a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2a = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 180 + -12 2a = 180 + -12 Combine like terms: 180 + -12 = 168 2a = 168 Divide each side by '2'. a = 84 Simplifying a = 84
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