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Simplifying 3(4a + 8) = 2(5a + 1) + a Reorder the terms: 3(8 + 4a) = 2(5a + 1) + a (8 * 3 + 4a * 3) = 2(5a + 1) + a (24 + 12a) = 2(5a + 1) + a Reorder the terms: 24 + 12a = 2(1 + 5a) + a 24 + 12a = (1 * 2 + 5a * 2) + a 24 + 12a = (2 + 10a) + a Combine like terms: 10a + a = 11a 24 + 12a = 2 + 11a Solving 24 + 12a = 2 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 24 + 12a + -11a = 2 + 11a + -11a Combine like terms: 12a + -11a = 1a 24 + 1a = 2 + 11a + -11a Combine like terms: 11a + -11a = 0 24 + 1a = 2 + 0 24 + 1a = 2 Add '-24' to each side of the equation. 24 + -24 + 1a = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 1a = 2 + -24 1a = 2 + -24 Combine like terms: 2 + -24 = -22 1a = -22 Divide each side by '1'. a = -22 Simplifying a = -22
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