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Simplifying a + (a + 2) + (3a + -11) + (a + 13) + (2a + 3) = 350 Reorder the terms: a + (2 + a) + (3a + -11) + (a + 13) + (2a + 3) = 350 Remove parenthesis around (2 + a) a + 2 + a + (3a + -11) + (a + 13) + (2a + 3) = 350 Reorder the terms: a + 2 + a + (-11 + 3a) + (a + 13) + (2a + 3) = 350 Remove parenthesis around (-11 + 3a) a + 2 + a + -11 + 3a + (a + 13) + (2a + 3) = 350 Reorder the terms: a + 2 + a + -11 + 3a + (13 + a) + (2a + 3) = 350 Remove parenthesis around (13 + a) a + 2 + a + -11 + 3a + 13 + a + (2a + 3) = 350 Reorder the terms: a + 2 + a + -11 + 3a + 13 + a + (3 + 2a) = 350 Remove parenthesis around (3 + 2a) a + 2 + a + -11 + 3a + 13 + a + 3 + 2a = 350 Reorder the terms: 2 + -11 + 13 + 3 + a + a + 3a + a + 2a = 350 Combine like terms: 2 + -11 = -9 -9 + 13 + 3 + a + a + 3a + a + 2a = 350 Combine like terms: -9 + 13 = 4 4 + 3 + a + a + 3a + a + 2a = 350 Combine like terms: 4 + 3 = 7 7 + a + a + 3a + a + 2a = 350 Combine like terms: a + a = 2a 7 + 2a + 3a + a + 2a = 350 Combine like terms: 2a + 3a = 5a 7 + 5a + a + 2a = 350 Combine like terms: 5a + a = 6a 7 + 6a + 2a = 350 Combine like terms: 6a + 2a = 8a 7 + 8a = 350 Solving 7 + 8a = 350 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 + 8a = 350 + -7 Combine like terms: 7 + -7 = 0 0 + 8a = 350 + -7 8a = 350 + -7 Combine like terms: 350 + -7 = 343 8a = 343 Divide each side by '8'. a = 42.875 Simplifying a = 42.875
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