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Simplifying -12 + 9(2a + 3) = 3(a + 5) Reorder the terms: -12 + 9(3 + 2a) = 3(a + 5) -12 + (3 * 9 + 2a * 9) = 3(a + 5) -12 + (27 + 18a) = 3(a + 5) Combine like terms: -12 + 27 = 15 15 + 18a = 3(a + 5) Reorder the terms: 15 + 18a = 3(5 + a) 15 + 18a = (5 * 3 + a * 3) 15 + 18a = (15 + 3a) Add '-15' to each side of the equation. 15 + -15 + 18a = 15 + -15 + 3a Combine like terms: 15 + -15 = 0 0 + 18a = 15 + -15 + 3a 18a = 15 + -15 + 3a Combine like terms: 15 + -15 = 0 18a = 0 + 3a 18a = 3a Solving 18a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 18a + -3a = 3a + -3a Combine like terms: 18a + -3a = 15a 15a = 3a + -3a Combine like terms: 3a + -3a = 0 15a = 0 Divide each side by '15'. a = 0 Simplifying a = 0
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