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Simplifying -32 = -3(4a + 2) Reorder the terms: -32 = -3(2 + 4a) -32 = (2 * -3 + 4a * -3) -32 = (-6 + -12a) Solving -32 = -6 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -32 + 12a = -6 + -12a + 12a Combine like terms: -12a + 12a = 0 -32 + 12a = -6 + 0 -32 + 12a = -6 Add '32' to each side of the equation. -32 + 32 + 12a = -6 + 32 Combine like terms: -32 + 32 = 0 0 + 12a = -6 + 32 12a = -6 + 32 Combine like terms: -6 + 32 = 26 12a = 26 Divide each side by '12'. a = 2.166666667 Simplifying a = 2.166666667
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