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Simplifying 0.4a + 0.6(14 + -1a) = 7.4 0.4a + (14 * 0.6 + -1a * 0.6) = 7.4 0.4a + (8.4 + -0.6a) = 7.4 Reorder the terms: 8.4 + 0.4a + -0.6a = 7.4 Combine like terms: 0.4a + -0.6a = -0.2a 8.4 + -0.2a = 7.4 Solving 8.4 + -0.2a = 7.4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.4' to each side of the equation. 8.4 + -8.4 + -0.2a = 7.4 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -0.2a = 7.4 + -8.4 -0.2a = 7.4 + -8.4 Combine like terms: 7.4 + -8.4 = -1 -0.2a = -1 Divide each side by '-0.2'. a = 5 Simplifying a = 5
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