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