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Simplifying 0.125(a + 3) = 0.1666667(3 + -1a) Reorder the terms: 0.125(3 + a) = 0.1666667(3 + -1a) (3 * 0.125 + a * 0.125) = 0.1666667(3 + -1a) (0.375 + 0.125a) = 0.1666667(3 + -1a) 0.375 + 0.125a = (3 * 0.1666667 + -1a * 0.1666667) 0.375 + 0.125a = (0.5000001 + -0.1666667a) Solving 0.375 + 0.125a = 0.5000001 + -0.1666667a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.1666667a' to each side of the equation. 0.375 + 0.125a + 0.1666667a = 0.5000001 + -0.1666667a + 0.1666667a Combine like terms: 0.125a + 0.1666667a = 0.2916667a 0.375 + 0.2916667a = 0.5000001 + -0.1666667a + 0.1666667a Combine like terms: -0.1666667a + 0.1666667a = 0.0000000 0.375 + 0.2916667a = 0.5000001 + 0.0000000 0.375 + 0.2916667a = 0.5000001 Add '-0.375' to each side of the equation. 0.375 + -0.375 + 0.2916667a = 0.5000001 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 0.2916667a = 0.5000001 + -0.375 0.2916667a = 0.5000001 + -0.375 Combine like terms: 0.5000001 + -0.375 = 0.1250001 0.2916667a = 0.1250001 Divide each side by '0.2916667'. a = 0.4285717224 Simplifying a = 0.4285717224
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