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Simplifying -3a + 44 + 9a = 2a + -7a Reorder the terms: 44 + -3a + 9a = 2a + -7a Combine like terms: -3a + 9a = 6a 44 + 6a = 2a + -7a Combine like terms: 2a + -7a = -5a 44 + 6a = -5a Solving 44 + 6a = -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. 44 + 6a + 5a = -5a + 5a Combine like terms: 6a + 5a = 11a 44 + 11a = -5a + 5a Combine like terms: -5a + 5a = 0 44 + 11a = 0 Add '-44' to each side of the equation. 44 + -44 + 11a = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 11a = 0 + -44 11a = 0 + -44 Combine like terms: 0 + -44 = -44 11a = -44 Divide each side by '11'. a = -4 Simplifying a = -4
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