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Simplifying -6a + 21 = 40a + -5 Reorder the terms: 21 + -6a = 40a + -5 Reorder the terms: 21 + -6a = -5 + 40a Solving 21 + -6a = -5 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 21 + -6a + -40a = -5 + 40a + -40a Combine like terms: -6a + -40a = -46a 21 + -46a = -5 + 40a + -40a Combine like terms: 40a + -40a = 0 21 + -46a = -5 + 0 21 + -46a = -5 Add '-21' to each side of the equation. 21 + -21 + -46a = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -46a = -5 + -21 -46a = -5 + -21 Combine like terms: -5 + -21 = -26 -46a = -26 Divide each side by '-46'. a = 0.5652173913 Simplifying a = 0.5652173913
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