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Simplifying -4.7(11.1a + -7.03) + -2.6(9.1a + -2.5) = -2.49a + -8.1a Reorder the terms: -4.7(-7.03 + 11.1a) + -2.6(9.1a + -2.5) = -2.49a + -8.1a (-7.03 * -4.7 + 11.1a * -4.7) + -2.6(9.1a + -2.5) = -2.49a + -8.1a (33.041 + -52.17a) + -2.6(9.1a + -2.5) = -2.49a + -8.1a Reorder the terms: 33.041 + -52.17a + -2.6(-2.5 + 9.1a) = -2.49a + -8.1a 33.041 + -52.17a + (-2.5 * -2.6 + 9.1a * -2.6) = -2.49a + -8.1a 33.041 + -52.17a + (6.5 + -23.66a) = -2.49a + -8.1a Reorder the terms: 33.041 + 6.5 + -52.17a + -23.66a = -2.49a + -8.1a Combine like terms: 33.041 + 6.5 = 39.541 39.541 + -52.17a + -23.66a = -2.49a + -8.1a Combine like terms: -52.17a + -23.66a = -75.83a 39.541 + -75.83a = -2.49a + -8.1a Combine like terms: -2.49a + -8.1a = -10.59a 39.541 + -75.83a = -10.59a Solving 39.541 + -75.83a = -10.59a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10.59a' to each side of the equation. 39.541 + -75.83a + 10.59a = -10.59a + 10.59a Combine like terms: -75.83a + 10.59a = -65.24a 39.541 + -65.24a = -10.59a + 10.59a Combine like terms: -10.59a + 10.59a = 0.00 39.541 + -65.24a = 0.00 Add '-39.541' to each side of the equation. 39.541 + -39.541 + -65.24a = 0.00 + -39.541 Combine like terms: 39.541 + -39.541 = 0.000 0.000 + -65.24a = 0.00 + -39.541 -65.24a = 0.00 + -39.541 Combine like terms: 0.00 + -39.541 = -39.541 -65.24a = -39.541 Divide each side by '-65.24'. a = 0.6060852238 Simplifying a = 0.6060852238
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