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Simplifying -11a + 5(-9a + 1) = 3a + -9(11 + 8a) Reorder the terms: -11a + 5(1 + -9a) = 3a + -9(11 + 8a) -11a + (1 * 5 + -9a * 5) = 3a + -9(11 + 8a) -11a + (5 + -45a) = 3a + -9(11 + 8a) Reorder the terms: 5 + -11a + -45a = 3a + -9(11 + 8a) Combine like terms: -11a + -45a = -56a 5 + -56a = 3a + -9(11 + 8a) 5 + -56a = 3a + (11 * -9 + 8a * -9) 5 + -56a = 3a + (-99 + -72a) Reorder the terms: 5 + -56a = -99 + 3a + -72a Combine like terms: 3a + -72a = -69a 5 + -56a = -99 + -69a Solving 5 + -56a = -99 + -69a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '69a' to each side of the equation. 5 + -56a + 69a = -99 + -69a + 69a Combine like terms: -56a + 69a = 13a 5 + 13a = -99 + -69a + 69a Combine like terms: -69a + 69a = 0 5 + 13a = -99 + 0 5 + 13a = -99 Add '-5' to each side of the equation. 5 + -5 + 13a = -99 + -5 Combine like terms: 5 + -5 = 0 0 + 13a = -99 + -5 13a = -99 + -5 Combine like terms: -99 + -5 = -104 13a = -104 Divide each side by '13'. a = -8 Simplifying a = -8
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