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Simplifying 27 = 5a + 9 + -11a Reorder the terms: 27 = 9 + 5a + -11a Combine like terms: 5a + -11a = -6a 27 = 9 + -6a Solving 27 = 9 + -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 + 6a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 27 + 6a = 9 + 0 27 + 6a = 9 Add '-27' to each side of the equation. 27 + -27 + 6a = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 6a = 9 + -27 6a = 9 + -27 Combine like terms: 9 + -27 = -18 6a = -18 Divide each side by '6'. a = -3 Simplifying a = -3
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