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Simplifying -5(-1a + -8) = 16 + -1a Reorder the terms: -5(-8 + -1a) = 16 + -1a (-8 * -5 + -1a * -5) = 16 + -1a (40 + 5a) = 16 + -1a Solving 40 + 5a = 16 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 40 + 5a + a = 16 + -1a + a Combine like terms: 5a + a = 6a 40 + 6a = 16 + -1a + a Combine like terms: -1a + a = 0 40 + 6a = 16 + 0 40 + 6a = 16 Add '-40' to each side of the equation. 40 + -40 + 6a = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 6a = 16 + -40 6a = 16 + -40 Combine like terms: 16 + -40 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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