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Simplifying 3(12 + 4a) = 6a + -18 (12 * 3 + 4a * 3) = 6a + -18 (36 + 12a) = 6a + -18 Reorder the terms: 36 + 12a = -18 + 6a Solving 36 + 12a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 36 + 12a + -6a = -18 + 6a + -6a Combine like terms: 12a + -6a = 6a 36 + 6a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 36 + 6a = -18 + 0 36 + 6a = -18 Add '-36' to each side of the equation. 36 + -36 + 6a = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 6a = -18 + -36 6a = -18 + -36 Combine like terms: -18 + -36 = -54 6a = -54 Divide each side by '6'. a = -9 Simplifying a = -9
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