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Simplifying (10a + -8) + -1(-9a + -9n) = 0 Reorder the terms: (-8 + 10a) + -1(-9a + -9n) = 0 Remove parenthesis around (-8 + 10a) -8 + 10a + -1(-9a + -9n) = 0 -8 + 10a + (-9a * -1 + -9n * -1) = 0 -8 + 10a + (9a + 9n) = 0 Combine like terms: 10a + 9a = 19a -8 + 19a + 9n = 0 Solving -8 + 19a + 9n = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 19a + 8 + 9n = 0 + 8 Reorder the terms: -8 + 8 + 19a + 9n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 19a + 9n = 0 + 8 19a + 9n = 0 + 8 Combine like terms: 0 + 8 = 8 19a + 9n = 8 Add '-9n' to each side of the equation. 19a + 9n + -9n = 8 + -9n Combine like terms: 9n + -9n = 0 19a + 0 = 8 + -9n 19a = 8 + -9n Divide each side by '19'. a = 0.4210526316 + -0.4736842105n Simplifying a = 0.4210526316 + -0.4736842105n
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