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Simplifying 0.333(21 + -3a) = 6 + -1a (21 * 0.333 + -3a * 0.333) = 6 + -1a (6.993 + -0.999a) = 6 + -1a Solving 6.993 + -0.999a = 6 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 6.993 + -0.999a + a = 6 + -1a + a Combine like terms: -0.999a + a = 0.001a 6.993 + 0.001a = 6 + -1a + a Combine like terms: -1a + a = 0 6.993 + 0.001a = 6 + 0 6.993 + 0.001a = 6 Add '-6.993' to each side of the equation. 6.993 + -6.993 + 0.001a = 6 + -6.993 Combine like terms: 6.993 + -6.993 = 0.000 0.000 + 0.001a = 6 + -6.993 0.001a = 6 + -6.993 Combine like terms: 6 + -6.993 = -0.993 0.001a = -0.993 Divide each side by '0.001'. a = -993 Simplifying a = -993
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