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Simplifying 3(2a + 1) + -4a = 27 Reorder the terms: 3(1 + 2a) + -4a = 27 (1 * 3 + 2a * 3) + -4a = 27 (3 + 6a) + -4a = 27 Combine like terms: 6a + -4a = 2a 3 + 2a = 27 Solving 3 + 2a = 27 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2a = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 27 + -3 2a = 27 + -3 Combine like terms: 27 + -3 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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