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Simplifying 9(a + 1) + -3(2a + -2) = 12 Reorder the terms: 9(1 + a) + -3(2a + -2) = 12 (1 * 9 + a * 9) + -3(2a + -2) = 12 (9 + 9a) + -3(2a + -2) = 12 Reorder the terms: 9 + 9a + -3(-2 + 2a) = 12 9 + 9a + (-2 * -3 + 2a * -3) = 12 9 + 9a + (6 + -6a) = 12 Reorder the terms: 9 + 6 + 9a + -6a = 12 Combine like terms: 9 + 6 = 15 15 + 9a + -6a = 12 Combine like terms: 9a + -6a = 3a 15 + 3a = 12 Solving 15 + 3a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3a = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = 12 + -15 3a = 12 + -15 Combine like terms: 12 + -15 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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