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Simplifying 24 + -1(3a + -3) = 8a + 40 Reorder the terms: 24 + -1(-3 + 3a) = 8a + 40 24 + (-3 * -1 + 3a * -1) = 8a + 40 24 + (3 + -3a) = 8a + 40 Combine like terms: 24 + 3 = 27 27 + -3a = 8a + 40 Reorder the terms: 27 + -3a = 40 + 8a Solving 27 + -3a = 40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 27 + -3a + -8a = 40 + 8a + -8a Combine like terms: -3a + -8a = -11a 27 + -11a = 40 + 8a + -8a Combine like terms: 8a + -8a = 0 27 + -11a = 40 + 0 27 + -11a = 40 Add '-27' to each side of the equation. 27 + -27 + -11a = 40 + -27 Combine like terms: 27 + -27 = 0 0 + -11a = 40 + -27 -11a = 40 + -27 Combine like terms: 40 + -27 = 13 -11a = 13 Divide each side by '-11'. a = -1.181818182 Simplifying a = -1.181818182
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