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Simplifying 7a + (5a + -13) = 47 Reorder the terms: 7a + (-13 + 5a) = 47 Remove parenthesis around (-13 + 5a) 7a + -13 + 5a = 47 Reorder the terms: -13 + 7a + 5a = 47 Combine like terms: 7a + 5a = 12a -13 + 12a = 47 Solving -13 + 12a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12a = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 12a = 47 + 13 12a = 47 + 13 Combine like terms: 47 + 13 = 60 12a = 60 Divide each side by '12'. a = 5 Simplifying a = 5
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