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Simplifying 6 + -6(1 + -1a) = -2(a + -8) 6 + (1 * -6 + -1a * -6) = -2(a + -8) 6 + (-6 + 6a) = -2(a + -8) Combine like terms: 6 + -6 = 0 0 + 6a = -2(a + -8) 6a = -2(a + -8) Reorder the terms: 6a = -2(-8 + a) 6a = (-8 * -2 + a * -2) 6a = (16 + -2a) Solving 6a = 16 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 6a + 2a = 16 + -2a + 2a Combine like terms: 6a + 2a = 8a 8a = 16 + -2a + 2a Combine like terms: -2a + 2a = 0 8a = 16 + 0 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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