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Simplifying 8(1 + 6a) = -32 + 8a (1 * 8 + 6a * 8) = -32 + 8a (8 + 48a) = -32 + 8a Solving 8 + 48a = -32 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 8 + 48a + -8a = -32 + 8a + -8a Combine like terms: 48a + -8a = 40a 8 + 40a = -32 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + 40a = -32 + 0 8 + 40a = -32 Add '-8' to each side of the equation. 8 + -8 + 40a = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 40a = -32 + -8 40a = -32 + -8 Combine like terms: -32 + -8 = -40 40a = -40 Divide each side by '40'. a = -1 Simplifying a = -1
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