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Simplifying 3(a + 1) + 2a = (3a + 5) + 8 Reorder the terms: 3(1 + a) + 2a = (3a + 5) + 8 (1 * 3 + a * 3) + 2a = (3a + 5) + 8 (3 + 3a) + 2a = (3a + 5) + 8 Combine like terms: 3a + 2a = 5a 3 + 5a = (3a + 5) + 8 Reorder the terms: 3 + 5a = (5 + 3a) + 8 Remove parenthesis around (5 + 3a) 3 + 5a = 5 + 3a + 8 Reorder the terms: 3 + 5a = 5 + 8 + 3a Combine like terms: 5 + 8 = 13 3 + 5a = 13 + 3a Solving 3 + 5a = 13 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 3 + 5a + -3a = 13 + 3a + -3a Combine like terms: 5a + -3a = 2a 3 + 2a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 3 + 2a = 13 + 0 3 + 2a = 13 Add '-3' to each side of the equation. 3 + -3 + 2a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 13 + -3 2a = 13 + -3 Combine like terms: 13 + -3 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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