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Simplifying 8(3 + a) = 2(1 + 3a) (3 * 8 + a * 8) = 2(1 + 3a) (24 + 8a) = 2(1 + 3a) 24 + 8a = (1 * 2 + 3a * 2) 24 + 8a = (2 + 6a) Solving 24 + 8a = 2 + 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 + 8a + -6a = 2 + 6a + -6a Combine like terms: 8a + -6a = 2a 24 + 2a = 2 + 6a + -6a Combine like terms: 6a + -6a = 0 24 + 2a = 2 + 0 24 + 2a = 2 Add '-24' to each side of the equation. 24 + -24 + 2a = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = 2 + -24 2a = 2 + -24 Combine like terms: 2 + -24 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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