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Simplifying 8a + -1(a + -5) + -1(a + 6) = a + -11 Reorder the terms: 8a + -1(-5 + a) + -1(a + 6) = a + -11 8a + (-5 * -1 + a * -1) + -1(a + 6) = a + -11 8a + (5 + -1a) + -1(a + 6) = a + -11 Reorder the terms: 8a + 5 + -1a + -1(6 + a) = a + -11 8a + 5 + -1a + (6 * -1 + a * -1) = a + -11 8a + 5 + -1a + (-6 + -1a) = a + -11 Reorder the terms: 5 + -6 + 8a + -1a + -1a = a + -11 Combine like terms: 5 + -6 = -1 -1 + 8a + -1a + -1a = a + -11 Combine like terms: 8a + -1a = 7a -1 + 7a + -1a = a + -11 Combine like terms: 7a + -1a = 6a -1 + 6a = a + -11 Reorder the terms: -1 + 6a = -11 + a Solving -1 + 6a = -11 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1 + 6a + -1a = -11 + a + -1a Combine like terms: 6a + -1a = 5a -1 + 5a = -11 + a + -1a Combine like terms: a + -1a = 0 -1 + 5a = -11 + 0 -1 + 5a = -11 Add '1' to each side of the equation. -1 + 1 + 5a = -11 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = -11 + 1 5a = -11 + 1 Combine like terms: -11 + 1 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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