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Simplifying 4.34(3.8a + 9.8) = -24.5544 + 9.2a Reorder the terms: 4.34(9.8 + 3.8a) = -24.5544 + 9.2a (9.8 * 4.34 + 3.8a * 4.34) = -24.5544 + 9.2a (42.532 + 16.492a) = -24.5544 + 9.2a Solving 42.532 + 16.492a = -24.5544 + 9.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9.2a' to each side of the equation. 42.532 + 16.492a + -9.2a = -24.5544 + 9.2a + -9.2a Combine like terms: 16.492a + -9.2a = 7.292a 42.532 + 7.292a = -24.5544 + 9.2a + -9.2a Combine like terms: 9.2a + -9.2a = 0.0 42.532 + 7.292a = -24.5544 + 0.0 42.532 + 7.292a = -24.5544 Add '-42.532' to each side of the equation. 42.532 + -42.532 + 7.292a = -24.5544 + -42.532 Combine like terms: 42.532 + -42.532 = 0.000 0.000 + 7.292a = -24.5544 + -42.532 7.292a = -24.5544 + -42.532 Combine like terms: -24.5544 + -42.532 = -67.0864 7.292a = -67.0864 Divide each side by '7.292'. a = -9.2 Simplifying a = -9.2
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