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Simplifying 5a + -1(8 + -1a) = 0.4a + -10 5a + (8 * -1 + -1a * -1) = 0.4a + -10 5a + (-8 + 1a) = 0.4a + -10 Reorder the terms: -8 + 5a + 1a = 0.4a + -10 Combine like terms: 5a + 1a = 6a -8 + 6a = 0.4a + -10 Reorder the terms: -8 + 6a = -10 + 0.4a Solving -8 + 6a = -10 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. -8 + 6a + -0.4a = -10 + 0.4a + -0.4a Combine like terms: 6a + -0.4a = 5.6a -8 + 5.6a = -10 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 -8 + 5.6a = -10 + 0.0 -8 + 5.6a = -10 Add '8' to each side of the equation. -8 + 8 + 5.6a = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 5.6a = -10 + 8 5.6a = -10 + 8 Combine like terms: -10 + 8 = -2 5.6a = -2 Divide each side by '5.6'. a = -0.3571428571 Simplifying a = -0.3571428571
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