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Simplifying (2a + -3) + (3a + 1) + (2a) = 47 Reorder the terms: (-3 + 2a) + (3a + 1) + (2a) = 47 Remove parenthesis around (-3 + 2a) -3 + 2a + (3a + 1) + (2a) = 47 Reorder the terms: -3 + 2a + (1 + 3a) + (2a) = 47 Remove parenthesis around (1 + 3a) -3 + 2a + 1 + 3a + (2a) = 47 Reorder the terms: -3 + 1 + 2a + 3a + (2a) = 47 Combine like terms: -3 + 1 = -2 -2 + 2a + 3a + (2a) = 47 Combine like terms: 2a + 3a = 5a -2 + 5a + (2a) = 47 Combine like terms: 5a + (2a) = 7a -2 + 7a = 47 Solving -2 + 7a = 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 + 7a = 47 + 2 Combine like terms: -2 + 2 = 0 0 + 7a = 47 + 2 7a = 47 + 2 Combine like terms: 47 + 2 = 49 7a = 49 Divide each side by '7'. a = 7 Simplifying a = 7
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