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Simplifying 6.50(127 + -1a) + 9.90a = 1083.90 (127 * 6.50 + -1a * 6.50) + 9.90a = 1083.90 (825.5 + -6.5a) + 9.90a = 1083.90 Combine like terms: -6.5a + 9.90a = 3.4a 825.5 + 3.4a = 1083.90 Solving 825.5 + 3.4a = 1083.90 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-825.5' to each side of the equation. 825.5 + -825.5 + 3.4a = 1083.90 + -825.5 Combine like terms: 825.5 + -825.5 = 0.0 0.0 + 3.4a = 1083.90 + -825.5 3.4a = 1083.90 + -825.5 Combine like terms: 1083.90 + -825.5 = 258.4 3.4a = 258.4 Divide each side by '3.4'. a = 76 Simplifying a = 76
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