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Simplifying 3a + (2a + -5) + 2(a + 2) = 13 Reorder the terms: 3a + (-5 + 2a) + 2(a + 2) = 13 Remove parenthesis around (-5 + 2a) 3a + -5 + 2a + 2(a + 2) = 13 Reorder the terms: 3a + -5 + 2a + 2(2 + a) = 13 3a + -5 + 2a + (2 * 2 + a * 2) = 13 3a + -5 + 2a + (4 + 2a) = 13 Reorder the terms: -5 + 4 + 3a + 2a + 2a = 13 Combine like terms: -5 + 4 = -1 -1 + 3a + 2a + 2a = 13 Combine like terms: 3a + 2a = 5a -1 + 5a + 2a = 13 Combine like terms: 5a + 2a = 7a -1 + 7a = 13 Solving -1 + 7a = 13 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 + 7a = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 7a = 13 + 1 7a = 13 + 1 Combine like terms: 13 + 1 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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