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Simplifying 2(12 + -4a) + 3a = 6a + 1 (12 * 2 + -4a * 2) + 3a = 6a + 1 (24 + -8a) + 3a = 6a + 1 Combine like terms: -8a + 3a = -5a 24 + -5a = 6a + 1 Reorder the terms: 24 + -5a = 1 + 6a Solving 24 + -5a = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 24 + -5a + -6a = 1 + 6a + -6a Combine like terms: -5a + -6a = -11a 24 + -11a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 24 + -11a = 1 + 0 24 + -11a = 1 Add '-24' to each side of the equation. 24 + -24 + -11a = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -11a = 1 + -24 -11a = 1 + -24 Combine like terms: 1 + -24 = -23 -11a = -23 Divide each side by '-11'. a = 2.090909091 Simplifying a = 2.090909091
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