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Simplifying 0.4a + 0.7(13 + -1a) = 7.6 0.4a + (13 * 0.7 + -1a * 0.7) = 7.6 0.4a + (9.1 + -0.7a) = 7.6 Reorder the terms: 9.1 + 0.4a + -0.7a = 7.6 Combine like terms: 0.4a + -0.7a = -0.3a 9.1 + -0.3a = 7.6 Solving 9.1 + -0.3a = 7.6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9.1' to each side of the equation. 9.1 + -9.1 + -0.3a = 7.6 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + -0.3a = 7.6 + -9.1 -0.3a = 7.6 + -9.1 Combine like terms: 7.6 + -9.1 = -1.5 -0.3a = -1.5 Divide each side by '-0.3'. a = 5 Simplifying a = 5
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