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Simplifying 6a + -1(9 + -1a) = 5a + -11 6a + (9 * -1 + -1a * -1) = 5a + -11 6a + (-9 + 1a) = 5a + -11 Reorder the terms: -9 + 6a + 1a = 5a + -11 Combine like terms: 6a + 1a = 7a -9 + 7a = 5a + -11 Reorder the terms: -9 + 7a = -11 + 5a Solving -9 + 7a = -11 + 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. -9 + 7a + -5a = -11 + 5a + -5a Combine like terms: 7a + -5a = 2a -9 + 2a = -11 + 5a + -5a Combine like terms: 5a + -5a = 0 -9 + 2a = -11 + 0 -9 + 2a = -11 Add '9' to each side of the equation. -9 + 9 + 2a = -11 + 9 Combine like terms: -9 + 9 = 0 0 + 2a = -11 + 9 2a = -11 + 9 Combine like terms: -11 + 9 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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