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Simplifying -9a + 8 + -2a + 12 = -9a + -27 + -6a + -9 Reorder the terms: 8 + 12 + -9a + -2a = -9a + -27 + -6a + -9 Combine like terms: 8 + 12 = 20 20 + -9a + -2a = -9a + -27 + -6a + -9 Combine like terms: -9a + -2a = -11a 20 + -11a = -9a + -27 + -6a + -9 Reorder the terms: 20 + -11a = -27 + -9 + -9a + -6a Combine like terms: -27 + -9 = -36 20 + -11a = -36 + -9a + -6a Combine like terms: -9a + -6a = -15a 20 + -11a = -36 + -15a Solving 20 + -11a = -36 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 20 + -11a + 15a = -36 + -15a + 15a Combine like terms: -11a + 15a = 4a 20 + 4a = -36 + -15a + 15a Combine like terms: -15a + 15a = 0 20 + 4a = -36 + 0 20 + 4a = -36 Add '-20' to each side of the equation. 20 + -20 + 4a = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 4a = -36 + -20 4a = -36 + -20 Combine like terms: -36 + -20 = -56 4a = -56 Divide each side by '4'. a = -14 Simplifying a = -14
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