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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 = -167a -252 + -167a = -920 + -23a + 23a Combine like terms: -23a + 23a = 0 -252 + -167a = -920 + 0 -252 + -167a = -920 Add '252' to each side of the equation. -252 + 252 + -167a = -920 + 252 Combine like terms: -252 + 252 = 0 0 + -167a = -920 + 252 -167a = -920 + 252 Combine like terms: -920 + 252 = -668 -167a = -668 Divide each side by '-167'. a = 4 Simplifying a = 4
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