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Simplifying -6(a + 1) + -1(2a + -8) = -8a + -8 + -5 + -3a Reorder the terms: -6(1 + a) + -1(2a + -8) = -8a + -8 + -5 + -3a (1 * -6 + a * -6) + -1(2a + -8) = -8a + -8 + -5 + -3a (-6 + -6a) + -1(2a + -8) = -8a + -8 + -5 + -3a Reorder the terms: -6 + -6a + -1(-8 + 2a) = -8a + -8 + -5 + -3a -6 + -6a + (-8 * -1 + 2a * -1) = -8a + -8 + -5 + -3a -6 + -6a + (8 + -2a) = -8a + -8 + -5 + -3a Reorder the terms: -6 + 8 + -6a + -2a = -8a + -8 + -5 + -3a Combine like terms: -6 + 8 = 2 2 + -6a + -2a = -8a + -8 + -5 + -3a Combine like terms: -6a + -2a = -8a 2 + -8a = -8a + -8 + -5 + -3a Reorder the terms: 2 + -8a = -8 + -5 + -8a + -3a Combine like terms: -8 + -5 = -13 2 + -8a = -13 + -8a + -3a Combine like terms: -8a + -3a = -11a 2 + -8a = -13 + -11a Solving 2 + -8a = -13 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 2 + -8a + 11a = -13 + -11a + 11a Combine like terms: -8a + 11a = 3a 2 + 3a = -13 + -11a + 11a Combine like terms: -11a + 11a = 0 2 + 3a = -13 + 0 2 + 3a = -13 Add '-2' to each side of the equation. 2 + -2 + 3a = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = -13 + -2 3a = -13 + -2 Combine like terms: -13 + -2 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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