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Simplifying 8a + -8a = -11(11 + 9a) + -11(-10a + 10) Combine like terms: 8a + -8a = 0 0 = -11(11 + 9a) + -11(-10a + 10) 0 = (11 * -11 + 9a * -11) + -11(-10a + 10) 0 = (-121 + -99a) + -11(-10a + 10) Reorder the terms: 0 = -121 + -99a + -11(10 + -10a) 0 = -121 + -99a + (10 * -11 + -10a * -11) 0 = -121 + -99a + (-110 + 110a) Reorder the terms: 0 = -121 + -110 + -99a + 110a Combine like terms: -121 + -110 = -231 0 = -231 + -99a + 110a Combine like terms: -99a + 110a = 11a 0 = -231 + 11a Solving 0 = -231 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 0 + -11a = -231 + 11a + -11a Remove the zero: -11a = -231 + 11a + -11a Combine like terms: 11a + -11a = 0 -11a = -231 + 0 -11a = -231 Divide each side by '-11'. a = 21 Simplifying a = 21
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