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Simplifying a + (a + -1) + 2a = 47 Reorder the terms: a + (-1 + a) + 2a = 47 Remove parenthesis around (-1 + a) a + -1 + a + 2a = 47 Reorder the terms: -1 + a + a + 2a = 47 Combine like terms: a + a = 2a -1 + 2a + 2a = 47 Combine like terms: 2a + 2a = 4a -1 + 4a = 47 Solving -1 + 4a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4a = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 4a = 47 + 1 4a = 47 + 1 Combine like terms: 47 + 1 = 48 4a = 48 Divide each side by '4'. a = 12 Simplifying a = 12
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