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Simplifying 12 + 5 = 3(6a + -9) Combine like terms: 12 + 5 = 17 17 = 3(6a + -9) Reorder the terms: 17 = 3(-9 + 6a) 17 = (-9 * 3 + 6a * 3) 17 = (-27 + 18a) Solving 17 = -27 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 17 + -18a = -27 + 18a + -18a Combine like terms: 18a + -18a = 0 17 + -18a = -27 + 0 17 + -18a = -27 Add '-17' to each side of the equation. 17 + -17 + -18a = -27 + -17 Combine like terms: 17 + -17 = 0 0 + -18a = -27 + -17 -18a = -27 + -17 Combine like terms: -27 + -17 = -44 -18a = -44 Divide each side by '-18'. a = 2.444444444 Simplifying a = 2.444444444
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