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Simplifying -2a + 27 + 8a = 3a + -6a Reorder the terms: 27 + -2a + 8a = 3a + -6a Combine like terms: -2a + 8a = 6a 27 + 6a = 3a + -6a Combine like terms: 3a + -6a = -3a 27 + 6a = -3a Solving 27 + 6a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 27 + 6a + 3a = -3a + 3a Combine like terms: 6a + 3a = 9a 27 + 9a = -3a + 3a Combine like terms: -3a + 3a = 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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