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Simplifying (7a + 1) + 2(8a + 9) = 180 Reorder the terms: (1 + 7a) + 2(8a + 9) = 180 Remove parenthesis around (1 + 7a) 1 + 7a + 2(8a + 9) = 180 Reorder the terms: 1 + 7a + 2(9 + 8a) = 180 1 + 7a + (9 * 2 + 8a * 2) = 180 1 + 7a + (18 + 16a) = 180 Reorder the terms: 1 + 18 + 7a + 16a = 180 Combine like terms: 1 + 18 = 19 19 + 7a + 16a = 180 Combine like terms: 7a + 16a = 23a 19 + 23a = 180 Solving 19 + 23a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 23a = 180 + -19 Combine like terms: 19 + -19 = 0 0 + 23a = 180 + -19 23a = 180 + -19 Combine like terms: 180 + -19 = 161 23a = 161 Divide each side by '23'. a = 7 Simplifying a = 7
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