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Simplifying 2a + 2(3a + 2) + -1(3a + -9 + -3) = 9 Reorder the terms: 2a + 2(2 + 3a) + -1(3a + -9 + -3) = 9 2a + (2 * 2 + 3a * 2) + -1(3a + -9 + -3) = 9 2a + (4 + 6a) + -1(3a + -9 + -3) = 9 Reorder the terms: 2a + 4 + 6a + -1(-9 + -3 + 3a) = 9 Combine like terms: -9 + -3 = -12 2a + 4 + 6a + -1(-12 + 3a) = 9 2a + 4 + 6a + (-12 * -1 + 3a * -1) = 9 2a + 4 + 6a + (12 + -3a) = 9 Reorder the terms: 4 + 12 + 2a + 6a + -3a = 9 Combine like terms: 4 + 12 = 16 16 + 2a + 6a + -3a = 9 Combine like terms: 2a + 6a = 8a 16 + 8a + -3a = 9 Combine like terms: 8a + -3a = 5a 16 + 5a = 9 Solving 16 + 5a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5a = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 5a = 9 + -16 5a = 9 + -16 Combine like terms: 9 + -16 = -7 5a = -7 Divide each side by '5'. a = -1.4 Simplifying a = -1.4
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