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Simplifying 8.5(9.5a + 8) = -19.5 + -2.5a Reorder the terms: 8.5(8 + 9.5a) = -19.5 + -2.5a (8 * 8.5 + 9.5a * 8.5) = -19.5 + -2.5a (68 + 80.75a) = -19.5 + -2.5a Solving 68 + 80.75a = -19.5 + -2.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2.5a' to each side of the equation. 68 + 80.75a + 2.5a = -19.5 + -2.5a + 2.5a Combine like terms: 80.75a + 2.5a = 83.25a 68 + 83.25a = -19.5 + -2.5a + 2.5a Combine like terms: -2.5a + 2.5a = 0.0 68 + 83.25a = -19.5 + 0.0 68 + 83.25a = -19.5 Add '-68' to each side of the equation. 68 + -68 + 83.25a = -19.5 + -68 Combine like terms: 68 + -68 = 0 0 + 83.25a = -19.5 + -68 83.25a = -19.5 + -68 Combine like terms: -19.5 + -68 = -87.5 83.25a = -87.5 Divide each side by '83.25'. a = -1.051051051 Simplifying a = -1.051051051
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