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Simplifying (a + 3) * 6 = 12 + -12a Reorder the terms: (3 + a) * 6 = 12 + -12a Reorder the terms for easier multiplication: 6(3 + a) = 12 + -12a (3 * 6 + a * 6) = 12 + -12a (18 + 6a) = 12 + -12a Solving 18 + 6a = 12 + -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. 18 + 6a + 12a = 12 + -12a + 12a Combine like terms: 6a + 12a = 18a 18 + 18a = 12 + -12a + 12a Combine like terms: -12a + 12a = 0 18 + 18a = 12 + 0 18 + 18a = 12 Add '-18' to each side of the equation. 18 + -18 + 18a = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 18a = 12 + -18 18a = 12 + -18 Combine like terms: 12 + -18 = -6 18a = -6 Divide each side by '18'. a = -0.3333333333 Simplifying a = -0.3333333333
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