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Simplifying 8a + -1(3 + -1a) = 5a + -11 8a + (3 * -1 + -1a * -1) = 5a + -11 8a + (-3 + 1a) = 5a + -11 Reorder the terms: -3 + 8a + 1a = 5a + -11 Combine like terms: 8a + 1a = 9a -3 + 9a = 5a + -11 Reorder the terms: -3 + 9a = -11 + 5a Solving -3 + 9a = -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. -3 + 9a + -5a = -11 + 5a + -5a Combine like terms: 9a + -5a = 4a -3 + 4a = -11 + 5a + -5a Combine like terms: 5a + -5a = 0 -3 + 4a = -11 + 0 -3 + 4a = -11 Add '3' to each side of the equation. -3 + 3 + 4a = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = -11 + 3 4a = -11 + 3 Combine like terms: -11 + 3 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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