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Simplifying (9a + 2) + -12a = 47 Reorder the terms: (2 + 9a) + -12a = 47 Remove parenthesis around (2 + 9a) 2 + 9a + -12a = 47 Combine like terms: 9a + -12a = -3a 2 + -3a = 47 Solving 2 + -3a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 47 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 47 + -2 -3a = 47 + -2 Combine like terms: 47 + -2 = 45 -3a = 45 Divide each side by '-3'. a = -15 Simplifying a = -15
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