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Simplifying 6(1 + 8a) + -6 = 8(3 + 3a) (1 * 6 + 8a * 6) + -6 = 8(3 + 3a) (6 + 48a) + -6 = 8(3 + 3a) Reorder the terms: 6 + -6 + 48a = 8(3 + 3a) Combine like terms: 6 + -6 = 0 0 + 48a = 8(3 + 3a) 48a = 8(3 + 3a) 48a = (3 * 8 + 3a * 8) 48a = (24 + 24a) Solving 48a = 24 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 48a + -24a = 24 + 24a + -24a Combine like terms: 48a + -24a = 24a 24a = 24 + 24a + -24a Combine like terms: 24a + -24a = 0 24a = 24 + 0 24a = 24 Divide each side by '24'. a = 1 Simplifying a = 1
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