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Simplifying 3(2a + 1) + -1a = 3a + 8 Reorder the terms: 3(1 + 2a) + -1a = 3a + 8 (1 * 3 + 2a * 3) + -1a = 3a + 8 (3 + 6a) + -1a = 3a + 8 Combine like terms: 6a + -1a = 5a 3 + 5a = 3a + 8 Reorder the terms: 3 + 5a = 8 + 3a Solving 3 + 5a = 8 + 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 = 8 + 3a + -3a Combine like terms: 5a + -3a = 2a 3 + 2a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 3 + 2a = 8 + 0 3 + 2a = 8 Add '-3' to each side of the equation. 3 + -3 + 2a = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 8 + -3 2a = 8 + -3 Combine like terms: 8 + -3 = 5 2a = 5 Divide each side by '2'. a = 2.5 Simplifying a = 2.5
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