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Simplifying 3.8a + -1(-1 + -9.7) = 2.6 + 13.3a Combine like terms: -1 + -9.7 = -10.7 3.8a + -1(-10.7) = 2.6 + 13.3a Multiply -1 * -10.7 3.8a + 10.7 = 2.6 + 13.3a Reorder the terms: 10.7 + 3.8a = 2.6 + 13.3a Solving 10.7 + 3.8a = 2.6 + 13.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13.3a' to each side of the equation. 10.7 + 3.8a + -13.3a = 2.6 + 13.3a + -13.3a Combine like terms: 3.8a + -13.3a = -9.5a 10.7 + -9.5a = 2.6 + 13.3a + -13.3a Combine like terms: 13.3a + -13.3a = 0.0 10.7 + -9.5a = 2.6 + 0.0 10.7 + -9.5a = 2.6 Add '-10.7' to each side of the equation. 10.7 + -10.7 + -9.5a = 2.6 + -10.7 Combine like terms: 10.7 + -10.7 = 0.0 0.0 + -9.5a = 2.6 + -10.7 -9.5a = 2.6 + -10.7 Combine like terms: 2.6 + -10.7 = -8.1 -9.5a = -8.1 Divide each side by '-9.5'. a = 0.8526315789 Simplifying a = 0.8526315789
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