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Simplifying 22(11 + -1a) = a + -5 (11 * 22 + -1a * 22) = a + -5 (242 + -22a) = a + -5 Reorder the terms: 242 + -22a = -5 + a Solving 242 + -22a = -5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 242 + -22a + -1a = -5 + a + -1a Combine like terms: -22a + -1a = -23a 242 + -23a = -5 + a + -1a Combine like terms: a + -1a = 0 242 + -23a = -5 + 0 242 + -23a = -5 Add '-242' to each side of the equation. 242 + -242 + -23a = -5 + -242 Combine like terms: 242 + -242 = 0 0 + -23a = -5 + -242 -23a = -5 + -242 Combine like terms: -5 + -242 = -247 -23a = -247 Divide each side by '-23'. a = 10.73913043 Simplifying a = 10.73913043
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