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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 = 9 9 + 3a + 2a + 2a = 13 Combine like terms: 3a + 2a = 5a 9 + 5a + 2a = 13 Combine like terms: 5a + 2a = 7a 9 + 7a = 13 Solving 9 + 7a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7a = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = 13 + -9 7a = 13 + -9 Combine like terms: 13 + -9 = 4 7a = 4 Divide each side by '7'. a = 0.5714285714 Simplifying a = 0.5714285714
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