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Simplifying -9(-1a + -1) = 8a + 14 Reorder the terms: -9(-1 + -1a) = 8a + 14 (-1 * -9 + -1a * -9) = 8a + 14 (9 + 9a) = 8a + 14 Reorder the terms: 9 + 9a = 14 + 8a Solving 9 + 9a = 14 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 9 + 9a + -8a = 14 + 8a + -8a Combine like terms: 9a + -8a = 1a 9 + 1a = 14 + 8a + -8a Combine like terms: 8a + -8a = 0 9 + 1a = 14 + 0 9 + 1a = 14 Add '-9' to each side of the equation. 9 + -9 + 1a = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1a = 14 + -9 1a = 14 + -9 Combine like terms: 14 + -9 = 5 1a = 5 Divide each side by '1'. a = 5 Simplifying a = 5
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