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Simplifying a + 9 = 8a + -1(2 + -1a) Reorder the terms: 9 + a = 8a + -1(2 + -1a) 9 + a = 8a + (2 * -1 + -1a * -1) 9 + a = 8a + (-2 + 1a) Reorder the terms: 9 + a = -2 + 8a + 1a Combine like terms: 8a + 1a = 9a 9 + a = -2 + 9a Solving 9 + a = -2 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 9 + a + -9a = -2 + 9a + -9a Combine like terms: a + -9a = -8a 9 + -8a = -2 + 9a + -9a Combine like terms: 9a + -9a = 0 9 + -8a = -2 + 0 9 + -8a = -2 Add '-9' to each side of the equation. 9 + -9 + -8a = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -8a = -2 + -9 -8a = -2 + -9 Combine like terms: -2 + -9 = -11 -8a = -11 Divide each side by '-8'. a = 1.375 Simplifying a = 1.375
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