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Simplifying -11(5 + -11a) + 8a = 11(-5 + 5a) (5 * -11 + -11a * -11) + 8a = 11(-5 + 5a) (-55 + 121a) + 8a = 11(-5 + 5a) Combine like terms: 121a + 8a = 129a -55 + 129a = 11(-5 + 5a) -55 + 129a = (-5 * 11 + 5a * 11) -55 + 129a = (-55 + 55a) Add '55' to each side of the equation. -55 + 55 + 129a = -55 + 55 + 55a Combine like terms: -55 + 55 = 0 0 + 129a = -55 + 55 + 55a 129a = -55 + 55 + 55a Combine like terms: -55 + 55 = 0 129a = 0 + 55a 129a = 55a Solving 129a = 55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55a' to each side of the equation. 129a + -55a = 55a + -55a Combine like terms: 129a + -55a = 74a 74a = 55a + -55a Combine like terms: 55a + -55a = 0 74a = 0 Divide each side by '74'. a = 0 Simplifying a = 0
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