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Simplifying 2.4a + -0.8(1.5a + -3.7) = 6.2 + 9.3a Reorder the terms: 2.4a + -0.8(-3.7 + 1.5a) = 6.2 + 9.3a 2.4a + (-3.7 * -0.8 + 1.5a * -0.8) = 6.2 + 9.3a 2.4a + (2.96 + -1.2a) = 6.2 + 9.3a Reorder the terms: 2.96 + 2.4a + -1.2a = 6.2 + 9.3a Combine like terms: 2.4a + -1.2a = 1.2a 2.96 + 1.2a = 6.2 + 9.3a Solving 2.96 + 1.2a = 6.2 + 9.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9.3a' to each side of the equation. 2.96 + 1.2a + -9.3a = 6.2 + 9.3a + -9.3a Combine like terms: 1.2a + -9.3a = -8.1a 2.96 + -8.1a = 6.2 + 9.3a + -9.3a Combine like terms: 9.3a + -9.3a = 0.0 2.96 + -8.1a = 6.2 + 0.0 2.96 + -8.1a = 6.2 Add '-2.96' to each side of the equation. 2.96 + -2.96 + -8.1a = 6.2 + -2.96 Combine like terms: 2.96 + -2.96 = 0.00 0.00 + -8.1a = 6.2 + -2.96 -8.1a = 6.2 + -2.96 Combine like terms: 6.2 + -2.96 = 3.24 -8.1a = 3.24 Divide each side by '-8.1'. a = -0.4 Simplifying a = -0.4
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