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Simplifying (12a + 3) + (5a + -10) = 180 Reorder the terms: (3 + 12a) + (5a + -10) = 180 Remove parenthesis around (3 + 12a) 3 + 12a + (5a + -10) = 180 Reorder the terms: 3 + 12a + (-10 + 5a) = 180 Remove parenthesis around (-10 + 5a) 3 + 12a + -10 + 5a = 180 Reorder the terms: 3 + -10 + 12a + 5a = 180 Combine like terms: 3 + -10 = -7 -7 + 12a + 5a = 180 Combine like terms: 12a + 5a = 17a -7 + 17a = 180 Solving -7 + 17a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 17a = 180 + 7 Combine like terms: -7 + 7 = 0 0 + 17a = 180 + 7 17a = 180 + 7 Combine like terms: 180 + 7 = 187 17a = 187 Divide each side by '17'. a = 11 Simplifying a = 11
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