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Simplifying -5a + 27 + 2a = 9a + -3a Reorder the terms: 27 + -5a + 2a = 9a + -3a Combine like terms: -5a + 2a = -3a 27 + -3a = 9a + -3a Combine like terms: 9a + -3a = 6a 27 + -3a = 6a Solving 27 + -3a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 27 + -3a + -6a = 6a + -6a Combine like terms: -3a + -6a = -9a 27 + -9a = 6a + -6a Combine like terms: 6a + -6a = 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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