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Simplifying 9 + 3(1 + 4a) = -32 9 + (1 * 3 + 4a * 3) = -32 9 + (3 + 12a) = -32 Combine like terms: 9 + 3 = 12 12 + 12a = -32 Solving 12 + 12a = -32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12a = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 12a = -32 + -12 12a = -32 + -12 Combine like terms: -32 + -12 = -44 12a = -44 Divide each side by '12'. a = -3.666666667 Simplifying a = -3.666666667
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