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Simplifying -11(a + -9) + -2 = -5a + 55 Reorder the terms: -11(-9 + a) + -2 = -5a + 55 (-9 * -11 + a * -11) + -2 = -5a + 55 (99 + -11a) + -2 = -5a + 55 Reorder the terms: 99 + -2 + -11a = -5a + 55 Combine like terms: 99 + -2 = 97 97 + -11a = -5a + 55 Reorder the terms: 97 + -11a = 55 + -5a Solving 97 + -11a = 55 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 97 + -11a + 5a = 55 + -5a + 5a Combine like terms: -11a + 5a = -6a 97 + -6a = 55 + -5a + 5a Combine like terms: -5a + 5a = 0 97 + -6a = 55 + 0 97 + -6a = 55 Add '-97' to each side of the equation. 97 + -97 + -6a = 55 + -97 Combine like terms: 97 + -97 = 0 0 + -6a = 55 + -97 -6a = 55 + -97 Combine like terms: 55 + -97 = -42 -6a = -42 Divide each side by '-6'. a = 7 Simplifying a = 7
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