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Simplifying (a + 12) + (4a + 18) = 180 Reorder the terms: (12 + a) + (4a + 18) = 180 Remove parenthesis around (12 + a) 12 + a + (4a + 18) = 180 Reorder the terms: 12 + a + (18 + 4a) = 180 Remove parenthesis around (18 + 4a) 12 + a + 18 + 4a = 180 Reorder the terms: 12 + 18 + a + 4a = 180 Combine like terms: 12 + 18 = 30 30 + a + 4a = 180 Combine like terms: a + 4a = 5a 30 + 5a = 180 Solving 30 + 5a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5a = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 5a = 180 + -30 5a = 180 + -30 Combine like terms: 180 + -30 = 150 5a = 150 Divide each side by '5'. a = 30 Simplifying a = 30
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