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Simplifying 2(4a + 1) = (-6) Reorder the terms: 2(1 + 4a) = (-6) (1 * 2 + 4a * 2) = (-6) (2 + 8a) = (-6) 2 + 8a = -6 Solving 2 + 8a = -6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8a = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 8a = -6 + -2 8a = -6 + -2 Combine like terms: -6 + -2 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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