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Simplifying -3a + 27 + 7a = 4a + -9a Reorder the terms: 27 + -3a + 7a = 4a + -9a Combine like terms: -3a + 7a = 4a 27 + 4a = 4a + -9a Combine like terms: 4a + -9a = -5a 27 + 4a = -5a Solving 27 + 4a = -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 27 + 4a + 5a = -5a + 5a Combine like terms: 4a + 5a = 9a 27 + 9a = -5a + 5a Combine like terms: -5a + 5a = 0 27 + 9a = 0 Add '-27' to each side of the equation. 27 + -27 + 9a = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9a = 0 + -27 9a = 0 + -27 Combine like terms: 0 + -27 = -27 9a = -27 Divide each side by '9'. a = -3 Simplifying a = -3
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