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Simplifying -5a + 8(1 + 6a) = -250 -5a + (1 * 8 + 6a * 8) = -250 -5a + (8 + 48a) = -250 Reorder the terms: 8 + -5a + 48a = -250 Combine like terms: -5a + 48a = 43a 8 + 43a = -250 Solving 8 + 43a = -250 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 43a = -250 + -8 Combine like terms: 8 + -8 = 0 0 + 43a = -250 + -8 43a = -250 + -8 Combine like terms: -250 + -8 = -258 43a = -258 Divide each side by '43'. a = -6 Simplifying a = -6
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