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Simplifying 26a + 9(-24a + -28) = 23(a + 40) Reorder the terms: 26a + 9(-28 + -24a) = 23(a + 40) 26a + (-28 * 9 + -24a * 9) = 23(a + 40) 26a + (-252 + -216a) = 23(a + 40) Reorder the terms: -252 + 26a + -216a = 23(a + 40) Combine like terms: 26a + -216a = -190a -252 + -190a = 23(a + 40) Reorder the terms: -252 + -190a = 23(40 + a) -252 + -190a = (40 * 23 + a * 23) -252 + -190a = (920 + 23a) Solving -252 + -190a = 920 + 23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23a' to each side of the equation. -252 + -190a + -23a = 920 + 23a + -23a Combine like terms: -190a + -23a = -213a -252 + -213a = 920 + 23a + -23a Combine like terms: 23a + -23a = 0 -252 + -213a = 920 + 0 -252 + -213a = 920 Add '252' to each side of the equation. -252 + 252 + -213a = 920 + 252 Combine like terms: -252 + 252 = 0 0 + -213a = 920 + 252 -213a = 920 + 252 Combine like terms: 920 + 252 = 1172 -213a = 1172 Divide each side by '-213'. a = -5.502347418 Simplifying a = -5.502347418
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